Even if one presupposes that all possible realities co exist in parallel, you'd still at least need to be able to hit the energy budget of moving you out of this one and into that one.
And that theory also runs up against the infinite monkeys problem, in that if there is a multiverse, and it is possible to transfer between them, then in an infinity of instances someone at some time would want to get in contact with you specifically, and has not, which also tends toward proving that either said multiverse doesn't exist, or that travel between them is impossible. (If it were merely extraordinarily hard, an infinity of attempts would still result in a probability of 100%)
One could assume our T1 line just by happenstance is the line in which said contact has not ever been made, or in which said contacts have been kept covert, since the infinite monkeys also means that the instances in which that happens are 100% likely also. If so, it's very convenient to the theory that we happen to exist in the "control" group.
Exiting the real world to games, you can presuppose matter transporters, time travel and alternate dimensional travel, but I'll consider those magic, or fantasy, until someone actually does it where I can see it.