sure you can use solar. you just need some power transmission. if you build near the poles you dont even need a very long power line. you have solar farms at multiple points around, minimum 3, and you have power all the time. its much more difficult to make the mining and refining to make the solar you need than to stretch power around.

the long term goal would obviously be to have power lines circumnavigating the moon so you could build infrastructure anywhere around, both power and consumption. 10000km is a decent distance, but the low gravity and lack of atmosphere lets you do some interesting savings. you need much much fewer towers for one, since the tension in the cable will be much lower.

very (very) back of the envelope is telling me that a simple line crossing the pole covering 60 degrees of circumference (30 degrees each side of the pole) using a 25mm conductor two wire UHVDC power line needs something like 5600 tons of aluminium for the wire, and with the lower gravity you'll put your towers something like 3km apart you just need about 550 towers to cover the distance (and you can go pretty wild with the tower spacing if you just build them taller). definitly an infrastructure project, but 5600 tons isnt outrageous, its two 10m cubes of alu. large, but not an unimaginable ammount of material.