WASHINGTON—Five former wrestlers, including former UFC world champion Mark Coleman, said this week that Rep. Jim Jordan was aware of, but didn’t respond to, allegations of sexual misconduct by an Ohio State University team doctor when the lawmaker was an assistant wrestling coach there in the 1990s.

“There’s no way unless he’s got dementia or something that he’s got no recollection of what was going on at Ohio State,” Mr. Coleman, the mixed martial arts champion, said of Mr. Jordan in an interview Wednesday. Messrs. Coleman...