Would it be possible with currently rocket technology or technology towards the end of its development (ex. SLS, Starship, New Glenn, etc.) to launch from the moon. Of course, we would send down a crew to set up a launch site, mine for fuel, build the rockets, and control them. We would also send all of the necessary materials. Is this theoretically possible? So, can we launch from the moon?
Yes, we have already launched from the Moon.
The Soviets did too. Explanation of single-burn trajectories from Lunar surface to Earth surface