Per raw you cannot do an accelerate and a fly drive maneuver as a single maneuver.
Yes, but in vehicle combat, you usually need to fly/drive to change the range band; in this instance, the PC is already at close range. Given that the jetpack is disrupting play, and that it is a special case, I would say that moving within the close range band is a manoeuvre, too, but I can see the other point of view.
Edited by Franigo