A still from the star trails I did at Trona Pinnacles. I guess you may have to zoom in to see all the stars
It is definitely possible to get star trails on a full moon night. I started off with a clear blue sky, but within half hour there were clouds streaking across the sky.
Even though we had a gorgeous moonlit night, the sunrise and sunset were a bit boring with no clouds in the sky. The shadows cast by the pinnacles made for a great photo though