Yes. You can (and should include) 1 arm pressing in your routines. I like to use kettlebells, but dumbbells work great also.
Concentrate in a tight core and keeping your body straight. Grip the floor with your toes, tighten your core, retract and lock your shoulder and press.
Mix up 1 arm at a time and double DB presses. Try holding 2 in the rack position and alternating.
A great way get get quite a few reps in is to do ladders. sets of 1,2,3,4,5 then start over at 1. Or 1,2,3,2,1. etc. Mix it up.
Never, never, never quit! -- Winston Churchill