Yes, of course. Also left-footed.
And your picture was a fake! (heehee).
OK, I've been looking at scads of pictures of Ringo and I seriously am beginning to think this guy is ambidexterous! He eats with his left hand, usually, he smokes with either hand...he uses either hand to hold objects...he appears to sign autographs with his right...arg!
UPDATE: dig this-
"I used to get put down in the press a lot for my silly fills, as we liked to call them, and that mainly came about because I am a left-handed right-handed drummer; that means I'm left-handed but the kit's set up for a right-handed drummer, so I come off the hi-hat and the snare...any ordinary drummer would come off with the right hand...so if I wanna come off, I have to come off with the left hand, which means I have to miss a... miniscule of a beat.
...I can go around the kit from the floor tom to the top toms which are on the bass drum easy, but I can't go the other way because the left hand has to keep coming in underneath the right one."
-[Ringo Starr 1983 'Ringo's Yellow Submarine' ABC Radio Network]
I -finally- found the quote myself in Walter Everett's The Beatles As Musicians:The Quarry Men through Rubber Soul' book, page 121.
(BTW as a drummer I agree...it is HARD to play it backwards like Ringo, I still try, and your hands tend to bang into each other because it's just not natural.)