Wyvern comes from a Middle English word meaning viper (in fact wyvern and viper both come from the same Latin word, vipera). Like a lot of dragony words—drake, wyrm, lindworm, serpent, and of course dragon itself—it is historically vaguely defined. Are we talking about snakes? Lizards? Reptiles generally? Usage varies wildly.
Now, "wyvern" meaning snake has passed out of usage in English, even in the sort of poetic contexts where you're likely to hear people talking about "serpents" or "vipers." But it survives in the context of British heraldic tradition where it was arbitrarily used to designate a particular shape of dragon. As such, modern fantasy writers looking for words for dragons have snatched wyvern from heraldic terminology and brought it into broader usage. In many instances they have brought along some or all of the heraldic distinction, converting it into an anatomical taxonomic distinction within their fantasy stories.
This is a common path a word can take where its definitions gain or lose specificity as context demands. Viper, for most of the time it existed as a word in English, simply meant snake. However, modern zoologists, needing lots of words for specific types of animals, borrowed it as a technical term with a more specific definition. As such, within the domain of zoology a viper is a snake within a particular evolutionary family—specifically one with a lot of species who give live birth, which is where the Latin word vipera (contracted from vivipara, "live-bearing") comes from.
Similarly, when Middle English speaking heraldists started using the word wyvern to specify a shape of dragon picture, they were taking a common, vaguely defined word for snake/lizard/whatever and giving it a sharper definition specifically within their domain.
And when a fantasy writer uses the word for a particular type of dragon (or dragons generally, or whatever else), they're taking it either as an obscure technical term from British heraldry or as a word for a fictional concept from other fantasy writers and giving it a new definition within their domain.
Essentially, when moving a word from one domain to another, you have to be coining a new sense for it. In heraldry, a wyvern is a shape of dragon picture on a banner. If you're not talking about heraldry, you're probably not talking about shapes of pictures on banner, so what do you mean when you say wyvern? You have to define the term in this new domain.
The same is true when taking a term from one fictional world to another. This word refers to a particular fictional category in the domain of this one fantasy setting, but we're talking about a different fantasy setting with different fictional things in it, so what does it mean here? Again, bringing the word into a new domain necessitates defining it anew.
So to answer your question, no I don't think it is.