You CAN jump & shoot with a crossbow, just tested (in real), lol - but of course accuracy has to be very low.
Viable for shooting someone at 2-5 meters who hides behind some barrels where you can not get and slay him.
Not viable for permanantly hopping around on walls and shooting people 100 meters away...
So: accuracy penalty - yes, removal - no.
And for us archers: yep, we should be able to do that as well, but with an even higher acc penalty.