Anything's possible. How it is currently wired and where you want the outlet(s) will make the determination how easy or hard it is. You must have the receptacles run off of a GFCI. You can do that with a GFCI breaker, or a receptacle. The easiest would probably be to put the new box directly below the light since you wouldn't need to cross over through any studs. Take the lamp off, see if there is one cable coming in or two. If it is one, then unless you want the outlet switched like the lamp, you'll need to run new wire. If that's the case, then the next easiest would probably be to put it below where the switch is.