For all major sports events, Yes. Sure, the Bills won 2 AFL titles, the Buffalo Bisons hockey team won some league titles before the Sabres, the Bisons baseball team has won some league titles. Even UB has won conference titles in football and basketball, but nothing national.
It even goes back to the Little Three college basketball. The Bob Lanier led 1970 Bonnie’s were good enough to win the national title but Lanier got injured and they were knocked out. Snakebite, I say!