Short answer: No.
Long answer: Maybe think of it like that if you where to jump out of a flying plane and while you’re falling someone would construct an elevator around you, do you think that would in any way change the fact that you’re falling and thus building up some pretty high velocity that is suddenly changed to 0 once you hit the ground?
No, you would just hit the floor a split second later with *maybe* slightly less force than you would have had you not jumped. You get hurt by a sudden stop, it doesn’t matter if that sudden stop was from the elevator itself suddenly stopping (not jumping) or you hitting an elevator that has already stopped (what happens if you jump)
It would be virtually the same.
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