What does the word "fancy" mean? [closed]
If you fancy something, you want to have it or to do it.
So, if there is something you don't desire, you can say "I don't fancy doing it", just like "I don't want to do it" (you can also use this construction with a noun: I don't fancy a drink = I don't want a drink). In this case, if you say "I don't like doing it/to do it", it's OK grammatically but it means a different thing because "to like" is not "to want". Note that this meaning of "fancy" is mostly British.
However, if you fancy someone, you feel attracted to them, that is you like them (especially in a sexual way).