Note that even if you had a gun, you would still be faced with the same problem of shooting at a moving target, while you are also moving, furiously pumping the peddles of your bike. A rather challenging shot, to say the least.
I've been trained to shoot on the move...but my minds eye balks at trying to picture the CRSO's face if I asked to bring my bicycle to his range for movement drills. I can't even make my mouth move to ask for shooting
behind my back from a moving bike.