Would kind of be a pain in the ass. Could you maybe have a drop in tower and ramp for the slope that stays and have the base before the kicker be on flat plywood that you could move. Like pick up the rail, kicker and flat bottom when not skiing? Just screw whatever surface(carpet, msnow, lattice) to that.
Still kind of a pain in the ass but if done right seems like you could set it up pretty easy by yourself. Having to move everything into a workable setup seems like a lot though.
You know your parents and what they'll let you do. Idk hopefully they let you just build a semi permanent one in a more out of sight corner of the yard.
My parents wouldn't let me buy a trampoline for a while with my money. Ended up working out but can be a battle.