Well, OK, just in theory. But this amazing NXT-controlled LEGO robot by Hknssn can build its own tower, and since the robot rides up the tower with each new piece it places, there’s theoretically no limit to how high it can build as long as it continues to be fed pieces.
Fascinating. Too bad it can’t be fed the pieces by it’s own ever growing conveyor belt or lift system. Having to go all the way back down increases the time it takes to build each new step.