Yes.
According to Slipped on Banana Peel: Atlanta man is minus two fingers on one of his hands _The Times and Democrat_ 21 September 1911: A man slipped on a train car step, and had his fingers run over by a wheel.
The 07 November 1900 Evening Bulletin says Thomas Reed broke his leg 6 inches above the knee after slipping on a banana peel in front of Owens hardware store.
The 21 May 1901 Butte Inter Mountain reports that Dan Cullen had both legs severed just above the ankle after slipping on a banana peel and being run over by a train he was trying to board.
The 22 July 1902 Evening Bulletin reports that George Hamilton broke his right arm in two places after slipping on a banana peel.
The 28 October 1909 Neshoba Democrat reports that W. W. Cockrell hurt his leg after slipping on a banana peel.
The 18 October 1921 Evening Public Ledger reports that Michael Managan broke his skull after slipping on a banana peel and may die.