No, their last national title was won 1997, the year before the BCS was invented in 1998.
LSU
LSU has won 2 bsc national championships
1
Alabama claims 13 National Championships in football. One of these championships is a BCS championship. Before the BCS, teams were voted champion by various organizations. Whether or not Alabama has 13 actual championships can be debated, but their 1 BCS Championship cannot be challenged.
The Alabama Crimson Tide have won 13 BCS National Championships.
12
Florida and alabama
Urban Myer became the first coach to win 2 BCS National Championships. The Florida Gators head coach won the championship in 2006 & 2009.
Alabama has 12 national championships, and 53 bowl appearances, both NCAA records.
None since the BCS determines the national champion.
Florida and LSU have each won two BCS championships. No one else has won more than one.