I don't remember how exactly they get solar energy, but if it is from solar panels, then maybe they could set up solar panels on different sides of the moon so that the energy is always distributed.

Most likely. We would need to either: Terraform Mars into a kind of Earth sibling, or; live in domes equipped with filters, (possibly a gravity honer), and plants/food. Then, the rich billionaires/millionaires would possibly be able to live on Mars