>Possible with the tech we have in a reasonable timeframe (as in several decades)?

Doubtful. I read recently that with current technology it would take us something like 18,000 years to reach Alpha Centauri, the next nearest star system. The galaxy is much, much thicker than that distance.

So unless there's some massive breakthrough on the level of sci-fi warp drives in our lifetime, I wouldn't expect any galactic selfies.