It’s actually a short distance, and the chute could not be packed up, but held in hand as you jumped (of course the pack is strapped to you)…and the chute would be tossed away from your body as you jumped.
Given winds and other factors, it’s no guarantee, but it’s worth a shot that you could find a a way to jump out far enough, especially if you had any way of choosing the jump spot.
The bungee cord would have to be tethered out away from the building on some tyoe of boom. Otherwise wouldn’t you just slam into the wall of the building? You would jump out the window and away from the building, creating an arc that would bring you right back into the side on the bottom. On a boom, you could go straight down (reasonably so).