I have reasons to believe that levi may have truly thought of living together with hanji back in ch126, based on his own monologue in ch136:
before hanji said "maybe we should just live here together, right levi?" in ch 126, hanji expressed the feeling of being trapped and that they've reached seemingly reached their limit.
"sounds like our time has come. you might feel like you're doing the right thing, but times change and you find yourself in a cell."
at this moment, I think hanji felt that their time as scouts may have already come to an end. hence, they thought of leaving everything behind to start anew (together with levi)
similarly with levi in ch136, he asks what if their roles had already ended way back then? when they got those brats to the sea?
both hanji and levi had a period of uncertainty regarding their duties as members of the survey corps. which I think is reasonable because while hanji and levi both have a strong sense of duty, they are still humans nonetheless.
I think it may have been possible levi was on the same track as hanji in 126, just that we never saw his direct pov in the forest. I get the impression that he might've thought of agreeing with them, BUT things take another turn after they got summoned in the paths by eren.
they learn that eren has activated the rumbling and this may have served as a sign to levi and hanji that their roles aren't over yet. humanity still needs them.
which leads us to this conversation:
it's not that levi was rejecting hanji (like I've been saying, I believe he might've agreed with them if eren never activated the rumbling), it's just that he knew hanji would never sit back while countless of lives are getting slaughtered. their roles are not done yet. if they let this happen, the sacrifices their comrades had made would be put in pain.
and it does follow the pattern of levi's monologue because he continues with this:
and hanji in 127 says this:
again, basically, both levi and hanji did have a period where they hesitated with their roles, hanji had a direct dialogue addressing it ("I was the one trying to run away"), but it circles back to their duties as scouts, the world getting flattened isn't what their comrades has devoted their lives for so they must protect it. they are going to save humanity or whatever's left of it. they can't just run away and take that brief moment of peace just for themselves.
also as hanji puts it "I feel the eyes of my comrades on me." "almost all of them died without ever knowing that humanity existed outside the wall". hanji likely felt guilty over the fact that they thought of choosing peace for themself when their comrades had devoted their lives over their own personal desires. and I'm guessing it is the same for levi.
(just to add this here, there is actually something even sadder behind levi's monologue. but it's too long to discuss it here.)
also, I think someone might ask, but what about levi fulfilling the promise he made with erwin back in shiganshina? would he still run away when he needs to do that? okay I have this guess that levi had already come into terms that he failed:
in the forest, levi admits to himself that he screwed up. and later during the battle of heaven and earth, he says "I've never bungled one of his orders. not even once. and yet for some reason, his final order is the kne that I just can't."
but you might ask, "he is still looking for zeke tho when he woke up?", and I think that's because of his newfound resolve, which is to stop the rumbling once and for all. it's likely that levi realized that this isn't only about the lives that were sacrificed in shiganshina anymore, the predicament they are facing at the moment is much larger in scale. and I think both knew that to activate the powers of the founding titan, eren would need his brother. so yes it does fall back to zeke, and then there's hanji's hypothesis (that levi himself brought up) that they may have to kill zeke to stop the rumbling.
there's also this detail back in 126 where hanji said "I'm sure you want revenge but right now..." and then levi proceeds with "if we keep running and hiding...what will that get us."
thing is, levi doesn't agree about taking revenge or what not. what he probably just had in mind then was to stop zeke and the rumbling, which is what he also assumes that hanji had in mind hence "I know you, you can't stay out of the action" to which hanji agrees.
and I think all these, adds weight to levi's motivation in attempting to hold hanji back from leaving in 132. it's not the same thing with erwin back in shiganshina where levi ultimately gave the call for him. hanji's decision has been made so why else would levi get in their other than to try and change their mind? and it wasn't likely over something like "we still need your leadership". levi addresses hanji as "four-eyes", therefore dropping any sense of formality (I know levi never stricly complied with using titles and honorifics but he stopped calling hanji with that nickname after RTS), which possibly hints to levi addressing hanji in a personal level. he is not asking hanji as the captain of the survey corps, but rather simply as levi who shares a deep personal bond with hanji. and if we take into account the points made above, the levi who also wanted to share a life with hanji.
but even before levi could draw any words out of him, hanji went ahead to say "you understand.", "just let me go will you?", which sounds to be a reference to levi's "I know you" back in the forest. likely to remind levi that they both made their decision then and this isn't the appropriate time to look back.
as you can tell, levi is obviously against the idea of hanji dying. when hanji parotted the same words erwin did in shiganshina, levi was visibly upset over it. interestingly enough, that was hanji's response to levi's "unrequited love for titans" line that has been thoroughly discussed by japanese fans that may have been holding certain nuances such as levi implying that hanji's feelings are requited by someone (possibly him). we can also connect this to the feelings he may have inwardly thought back in 126 but never got the chance to say out loud. but suddenly asks if levi thinks their comrades are watching them? again, probably in reference to hanji's words to jean and mikasa in 127 when they seem to be expressing guilt over the fact that they had thought of running away (taking their own personal peace), when their comrades died without even knowing about the truth beyond the walls. "I feel the eyes of all of my comrades on me". it's a bit similar to when erwin said this before when he was thinking of his own desire of seeing the basement, above his own duties as commander. so I guess we can say if erwin's personal desire was his childhood dream to uncover the truth found at the basement of eren's house, for hanji it was to live in peace (with levi).
the "live together in peace" trope had been used several times in aot and often with the strongly implied ships. but I think levi and hanji's were meant to directly mirror eren and mikasa's. note that I don't think that their dynamics as a ship are the same, it's different I tell you. but there are narrative points between them that appears to be tied? I think the fate of those two pairs are intertwined in a tragic fate? because as long as eren decides to activate the rumbling, hanji would definitely form the alliance to stop it and it would eventually lead to their death. eren had always meant to leave mikasa and his friends because of his plan to go forth with the rumbling, therefore negating the possibility of that reality of him running away with mikasa. and in turn, hanji (and levi) wouldn't have ran away as well back when they were in the forest because they would stop eren and his plans. (I actually have a separate post for this so I'm not gonna get into details now. )
in the end while levi and hanji's relationship lacked an outright label, I think there were enough hints that strongly imply that it had taken a romantic turn at some point. solidified by their (mutual) wish to stay together. it's a tragic tale between two people who devoted their hearts for others and sacrificed their own personal wishes.
