Would a drop ceiling reduce percussive walking noise from neibor above?
If you're thinking a regular "grid" ceiling when you say "drop ceiling", it won't help. you have to fasten hanger wires to the joists to "suspend" the ceiling and hang wires to hold it up. The sound travels through the fasteners, the wires, and the grid. (It will not be AS pronounced.) Bob's on the right track, if you can afford the Quiet Rock....
If you can read this, thank a teacher. If you can read this in English, thank a soldier. Support our troops.