Yeahhhh,,,, no. With existing technology we could not populate the milky way galaxy in a few centuries.
IF you have a speed of light spaceship, you will need around 1200 centuries to cross the Milky Way. And we milky wayans are living in one relatively small galaxy.
There are about 100 Billion other galaxies in the observable universe.
Yes, they are out there, and no, we will never find them.
Marconi’s first wireless signal left the planet less than 120 years ago. Traveling the speed of light, the distance of that signal becomes the radius of the Universe that would be able to determine we are living on anything other than a “dumb” rock.
There is simply no proof of that. All you can offer is quantity. The huge number of stars and planets. Yet there is no proof that conditions such as ours exist elsewhere. As for non-carbon based life forms, there’s no evidence for that either.