I’m unsure the human rights aspect is going to be the limiting factor. Humans are constantly doing inhuman things. We have a history of forcibly migrating people, it’s not uncommon in our history at all.

I think it’s just as likely that we never spend the engineering effort on a multi-generation colonization ship. Compared to inner-stellar travel inter-stellar travel requires much much more space, robust systems, and reliability. For example, the distance between Earth and the nearest star is over 100,000,000 times the distance between Earth and Jupiter. It’s questionable we’ll ever put the effort into being inner-stellar, but the difference between inner-stellar and inter-stellar is greater than the difference between a paddle board and an aircraft carrier.