Multiple z levels non lethal chute - is it possible?

I have read a few Q&A on building a chute/shaft in the context of moving ore faster to smelters etc. I would like to build a 1x1 chute for captured enemies which sit in some cages. They would fall all the way down to the caves, somewhat unharmed. The goal would be to populate some cave levels and have the beasts/animals/enemies fight it out, which I find entertaining¹.

So I wouldn't want to have to operate a series of traps with levers to make them fall "in stages" or what not. Is it possible to conceive such a forgiving chute? And if so, how?

^{1 A long time ago I watched this video where I saw two forgotten beasts edge it out in some pool of water, so this is where I get the inspiration for cave random encounters... as long as it doesn't involve my dwarves!}