I hope we see some hibernation breakthroughs in the coming years, but I think that (unfortunately) our species is going to remain “grounded” if we don’t develop Faster Than Light (FTL) travel capabilities.
Beyond that, I think humans may eventually colonize the moon, Mars, and the clouds of Venus, but I highly doubt we will make it out of the Solar System before our species dies out.
Edit: I hope to be wrong.