Is this pick-off legal?

[Larry1953]

Runner on second with no outs. Ambidextrous pitcher (pitching the entire game as a left-handed takes a set position. He breaks contact with the rubber with his left foot to step with that foot toward second. In nearly the same motion, but with the left foot off the rubber, he quickly transfers the ball to his right hand while dropping the glove and snaps off a throw to second that mans the stunned runner. Is such a pick-off attempt allowed?