When the law of thermodynamic entropy is applied at the scale of the whole universe, this is the conclusion we reach. So, even if we had taken life to other galaxies, or even if life were already there too, we're doomed because all the stars will all burn out. Perhaps not bacteria, but multicelled life as we know it completely depends on starlight to power photosynthesis. Without any light shining from stars, there won't be viable planets in this universe. And, of course, Hoyle and Wickramasinghe find evidence that a large fraction of interstellar dust is already bacteria and possibly viruses.
Cosmologists generally agree that our universe is spatially finite.
Huge, yes, but still finite. Having begun in a big bang, it is closed in the way black holes are closed. No matter what technology we might develop, we can't leave. Even if we had left behind clouds of bacterial spores in empty space, they'd be stuck there. Fred Hoyle doesn't accept the big bang theory.