I have been bitten by several animals over the years as I worked in a pet shop when I played in the band. Yep, parrots have very strong beaks. I was bitten by a Macaw I was feeding. He was just a baby but it hurt for a few days.
Side story: Buddy I worked with taught him to say 'lose some weight!".
You should have seen some of the faces of the folks browsing. priceless.
Mama rat got me one time while changing her food dish. She was pregnant and apparently didn't want me to be in her cage right then.
Several reptiles got me but no snakes. We didn't carry them and if we had I wouldn't have been anywhere near them.