From all the places I've seen, it can, but that doesn't mean it's going to. I've seen places where Professor Xavier was evil, one where the Savage Land covered most of the planet, a whole planet of Hulks, one where Tony Stark was President, where half the US was a preserve for human/lizard hybrids, where a whole bunch of heroes got turned into evil vampires... In a lot of those people don't even have the chance to make the same choices they would somewhere else because nothing happens the same way.