#temporal change

Telepathy does exist, though it has only manifested in very rare instances, mostly around Gears who were experimented on with such powers in mind.

Sol experiences a kind of “rejection” to such Telepathy in the form of Noise Dissonance with other powerful Gears and Valentines around him.

Teleportation also exists, though it functions under certain rules involving terrain, distance, and speed.  Known teleporters include Justice (as the Cradle), Bedman, Faust, Raven, and Testament.

Valentines also have the ability to fly, though it’s not clear precisely how they are able to do so, kinetically or otherwise.

Psychometry itself has not been made strongly evident, however certain physical objects have the ability to retain resonant thoughts from humans and other forms of life and become Youkai called Tsukumogami or Thought Creatures.

There is also something called Temporal Alteration (or as Axl Low calls it “Time Slipping”) in which the Timeline gets altered as an Irregular like Axl or I-No slip through it in to a different point in the timeline, while simultaneously altering the original timeline.

While there aren’t very many clear examples of other kinetic abilities, Magic does make up for those in many instances, and Ki in particular has a way of bending the rules of physics in a similar manner to things like Pyrokinesis.

Lastly, clairvoyance does not exist, despite any prophetic predictions that have appeared in GG’s story.  Mostly because the characters involved in those prophecies had the power to access both the Backyard and/or Time Travel.

Also, in I-No’s case, her existence is synchronous with the world’s existence, as explained by Jack-O’… so it’s technically impossible for her to be clairvoyant in anything that relates to herself.

If you’re asking if Ky used the Thundersealed Sword to develop his techniques like Stun Edge, Sacred Edge, Durandal, etc… that ‘might’ be true… but that is not necessarily how he formed the techniques, since he can still use these attacks even without it, as evidenced when he used the Aquila and later the Magnolia Eclair II swords.