They could, yes... but they don't. They play both sports as part of the Southeastern Conference (SEC).
Other schools do play each sport in a different conference. For example, Villanova plays Basketball in the Big East, but plays football in the Colonial conference.
The Chicago Tigers of the American Professional Football Association folded the same year they were organized, 1920.
From the NFL, the Cincinnati Bengals and from NCAA Football, the LSU Tigers.
Nebraska is 5-0-1 against the LSU Tigers all time in football.
M Tigers F.C. was created in 2007. It was formerly known as as P.J. Stars Kings.
I'm going to edit this later if this is wrong, but I believe Michigan might of, the Tigers maybe, the redwings definitely, and the lions? if only two of them won, do you think the college football and basketball teams count. They both are pretty good...
Missouri Tigers football was created in 1890.
Chicago BullsThe Illinois Fighting Illini men's basketball team is an NCAA Division I college basketball team competing in the Big Ten Conference.
5 Division 1-A Auburn Tigers - SEC LSU Tigers - SEC Clemson Tigers - ACC Mempis Tigers - Conference USA Missouri Tigers - Big 12 1 Division 1-AA Tenessee State - Ohio Valley Conference
Louisiana State University Tigers Auburn Tigers (this one gets fun because LSU and Auburn are in the same conference) Clemson Tigers University of Missouri Tigers University of the Pacific Pacific Tigers (not division 1A) The fifth team is the Memphis Tigers.
two different colleges, two different football teams. The Auburn Tigers and The Georgia Buldogs. Pretty simple stuff.
Pentland Tigers Basketball Club was created in 1992.
Princeton Tigers men's basketball was created in 1901.
Memphis Tigers men's basketball was created in 1920.
Memphis Tigers football was created in 1912.
Hamilton Tigers - football - was created in 1869.
Hamilton Tigers - football - ended in 1950.
UST Growling Tigers men's basketball was created in 1924.