With our current means of travel it would take at least one generation of time, maybe two generations to reach the nearest Galaxy that might or might not have an inhabitable planet. We are probably at least one generation, maybe two generations from developing the logistical ability to survive in space long enough to make the trip.
Um... no, and no.
The nearest known galaxy to ours is 25,000 light years away from us. At Voyager speeds, it would take approx seven hundred and fifty MILLION years to get there. Even if we could go the speed of light, it would still take 25,000 years. There is no hope we're ever getting out of the Milky Way without some seriously drastic sci-fi worm-hole stuff.
xtn