If we could travel at light speed that is, which we can't and likely never will.
I'm not sure what you mean by this. There are still lots of issues with just surviving the journey, let alone making a foreign planet habitable and establishing a society. We need lots more discoveries in energy and understanding human physiology before it becomes just an engineering problem.
It's the very last thing on the map of the universe:
But at least one could do the respective trips to slightly closer galaxies within a lifetime: http://arxiv.org/pdf/astro-ph/0509268.pdf (published in Phys.Rev. D, http://journals.aps.org/prd/abstract/10.1103/PhysRevD.72.107... )
Glad that I won't have to see this depressing end to the universe but still sad for humanity, that we won't last forever.
[0] https://en.wikipedia.org/wiki/World_population#Number_of_hum...