Interesting thought experiment, I'm not sure if you can say the computer will change the future, or rather, just like anything else in this debate, it depends what you mean by that.
Maybe the sheer computational difficulty makes it impossible even in theory, given the number of possible connections in one human brain alone, let alone the rest of the universe. Obviously we can make predictions on imperfect information, but that's a different sort of "prediction."
I was going to say that this is kind of like time travel, in that thinking about seems to lead to paradoxes. Or maybe we just don't have a good enough way of thinking about it.