The scroll saw seems like about the safest power saw that a kid could use. But every one I've ever owned/used could definitely cut human flesh. Maybe someone could come up with one that has a very limited range of motion, so that it works like a cast saw / oscillatory multi-tool, where the teeth movement is so small that it is within the elastic range of your skin.
It had was a combined jig saw, lathe, drill press, and disc sander.
Now, I don’t know much about modern scroll saws, but the “blade” on this thing was more like a thin, round file. Perfectly adequate for something like popsicle stick thick wood. It more ground it’s way through wood than actually cutting it.
I think it would take some pressure to really hurt a finger. I can say there was no real bloodletting on my projects.
The drill bits were pointed, flat pieces of metal. It was all designed for really soft wood.
https://www.youtube.com/watch?v=Bx1AiQdMQro