Yes. See, for example, http://en.wikipedia.org/wiki/Solar_power_satellite.Jack Harrison wrote:MikeOr the Moon.I'm sure it would be good if we could convert some of the World's deserts into solar farms
Can electricity be transmitted by methods other than cables? For example, by microwave [from the Moon]?
Microwaves can be a very efficient means of power transmission and space-based solar panels work much better than terrestrial ones too. The moon is probably a bit too far away for good transmission and a very large area is needed for the receiving station, so we're probably back to places like the Sahara desert!
As with all these things, an awful lot of up-front money is needed and routine maintenance might be a bit difficult too.

Mike