There are no real infinities. The universe might be infinite, but the bit of it we can see and/or ever interact with is not (speed of light + expansion). So there are a finite number of stars that we will ever be able to touch before the universe goes dark. And the universe seems to have had a finite starting point. So we can calculate which stars may ever reach out to us. These are very big numbers, but they are not infinite.
Unless star trek is real. Faster than light travel opens up the door to infinities.
Some forms of FTL travel also opens the door to time travel, so even if there is no multiverse and our universe has a point in its future where all energy is at its lowest possible state, we could still bounce around between the Big Bang and the heat death for quite a while.
Unless star trek is real. Faster than light travel opens up the door to infinities.