We also need, like, a reason. Even if we can... why? (and "survive the apocalypse" is a pretty bad reason since there are zero other bodies in our star system that are better for humans to live on than even a nuked, climate-changed Earth—anything short of a crust-melting impact would be easier and cheaper to survive with Earthbound bunkers, excepting things that would also wreck other bodies in our star system)

Which reasons, as for 99% of everything else like that humans have ever done, will likely be economic or military. When it makes dollar-sense to do it, we'll go. Not sooner. Not really, and not for the long haul.

I'm doubting we'll do large-scale human colonization of space for a long, long time, if ever. We might do mostly-robotic asteroid mining within the next 100 years, and a couple visits to e.g. Mars might be made, but nothing serious.