They can be. For example, Boise State University Football Team won the WAC championship, and their Wrestling Team won the PAC 10 championship last season.
The team that won the NCAA Championship was the Florida Gators.
Kentucky
The University of Connecticut won the NCAA National Championship Game in basketball last year.
In men's basketball, Kentucky has more NCAA basketball championships. Kansas' men's basketball team has won the NCAA championship three times while Kentucky's men's basketball team has won the NCAA championship eight times. In women's basketball, neither team has a championship.
They have never won the NCAA championship.
Indiana defeated one team twice in the five NCAA Championship games they won. Which team did they defeat? Kansas
Tennessee
dayton
UCLA
The Univeristy of Virginia won the D1 championship.
They have won 21 national wrestling championships