If the universe is infinite, then all possible states should exist.
If time travel / teleportation machines can be constructed, then it can be represented by at least one state.
If the universe is infinite and time travel / teleportation machines can be constructed, then there would be an infinite number of time travel / teleportation machines.
If there’s an infinite number of time travel / teleportation machines, then every point in time and space would be the target of an infinite number of time travel / teleportation machines, and there would be constant chaos.
Therefore, time travel / teleportation machines cannot be constructed, or this universe is not infinite.