You can make whatever you want as long as it doesn't break the setting ( for instance, if a character were to come from the future, all futuristic devices would be left behind smashed to pieces or just not work or something like that)
I dunno about the whole Tetsuo from Akira, we don't accept fandom characters here, but if you're just using them for an idea that's fine. (:
Oh, and a psychic character is Dandy-Like! I myself have a telepathic Sanctuary Priest ^_^ Just make sure to read the players limits before you have them go reading minds. Even if they can and should be able to read minds, it's common courtesy that you check with the other player first.