I think I just missed your implication that it would be accidental (totally fair assumption, my bad).
As other people said, reckless endangerment, criminal negligence, and manslaughter are real charges, but ideally we should be trying to prevent these things from happening beyond simply punishing people who do them. As far as I know, this is accounted for in skydiving with the need to have pre-determined drop zones that are appropriately clear for the safety of yourself and the people you might otherwise collide with. The safety requirements are probably not extensive enough, but I am pretty sure it's not legal to just unilaterally decide you're dropping in a public park without preparing the area first (outside of emergencies).
It's like how driving drunk is illegal, not just an aggravating factor in convictions stemming from getting in a crash, because we want to avoid the conditions of a bad thing happening (and be able to intervene if someone is creating those conditions), not just hope that threat of punishment discourages it.