No, there isn't, but there is a tradition at Ohio State to play one or more football teams from Ohio each year.
Ohio has eight college football teams in three leagues. In Division I-A there are the Ohio State Buckeyes. University of Akron, Bowling Green, Kent State, Miami University, Ohio University and the University of Toledo play in the Mid-American Conference and the University of Cincinnati Bearcats play in the American Athletic Conference.
Toledo and Ohio State have met once in football, that being September 12, 1998 in Columbus. Ohio State won 49-0.
Ohio State
Play football and win championships like a boss
The Bears play Division 1-AA football in the Missouri Valley Football Conference.
Ohio State
punter.
1961 football season as a freshman.
Mount Union is a Division 3 team that plays in the Ohio Athletic Conference.
They haven't played each other
Nope