Well yes, but if this actually happened it would open up a new frontier. We'd have an entire galaxy of unspoilt ecosystems* to shit in. Climate anxiety would go from being existential dread to mere sentimental indignation, and everybody would be interested in the latest news from the various interstellar colonies and planning when to emigrate. Mental illness epidemics would clear up, politics would look like an old-fashioned activity, the global mood would lift, and people would say "global" much less often.
It always seems like whenever something close to this happens, people's lives carry on, don't get easier, and they keep finding new things to complain about.
* Ecosystems may require self-assembly