I am skeptical because even at significant fractions of “c” shipboard time would be decades. We might get to the Alpha Centauri multi-star system, or we might get to Barnard’s Star. But stars farther out would be ruled out by our relatively short life spans. Crews would necessarily be 30 years old or older to have acquired the skills necessary for such a mission, and it would very likely be a one way trip for them.
More importantly, with the economic inequality of our societies, what nation or even group of nations would be able to convince their populations to make enormous sacrifices just for the purpose of exploration? The idea that we would colonize in such a manner is even more problematic. What society would be willing to make enormous material sacrifices simply to benefit a handful of colonist, with absolutely no prospect of return on the expenditure?