Can I sue the company after an injury even if I was hired without papers?

I was told by a guy that I can come out and work where he worked splitting wood with a machine. The person who paid me never asked for no paperwork to get hired on which I thought was weird but he paid cash and I need it now. On the second day, on a machine that I was never trained on, I was putting wood and the other person was pushing the button too early. I told him to slow down. He wouldn’t. I think he’s on drugs also. The last log of row, the guy pushed button and my thumb got smashed. They had to do surgery only have half a thumb.