Yes, but the process of painting a piece like that is the kind of thing that would be pretty damaging to the piece if he messed it up, as far as stray paint is concerned. I'm assuming that he's going for a pretty high level of quality if he's going for a paint job in the first place.
The piece itself isn't totally flat on the sides; it's slightly curved, so painting it would be rather risky. Feel free to give it a shot, though.
I wonder if this is, in fact, the right place for anyone to ask any stand-alone question...@Jon?