I had thought so too at first. That's why I rewatched it alot and looked for as many angles to check. (My dad was air force and my uncle and grandpa were navy)

Its unlikely that someone trained with a gun would jerk both left and down and not at the same time. Why the move down and then a jerk to the left. It would make sense if it jerked up but left?

The angle of the gun before going left would have been a gut or chest shot and oc going through the leg considering how she was climbing... But neck? She was in the window crouching, her head wasn't that low.

The guy did aim correctly at her head but then messed up his aim twice with no one bumping into him or anything.