Yes, and often. It doesn't really hurt, and you never know if you might be the one needing it. Started when I was in college at U of SC.
The Rivalry extends beyond sports to the annual blood drive between the two schools. Students, faculty and fans from the schools band together in an effort to collect blood before the holiday season when many are too busy to give blood. The blood drive is held from Monday through Friday the week before the football matchup. 2010 marked the 26th occurrence of the blood drive, having collected a total of 92,161 units of blood (through 2009), enough to save approximately 230,000 lives.[60] Clemson leads the drive 14-12,[61] with South Carolina winning the most recent drive in 2010 with 4,036 pints versus Clemson's 2575 pints of blood.[62] With 8,022 units of blood combined, 2009's total donations broke the former record of 7,390 units, set the previous year. The blood drive is sponsored by the American Red Cross at the University of South Carolina and the Gamma Lambda chapter of the Alpha Phi Omega national service fraternity at Clemson.[63] Everyone who gives blood receives a free shirt, with the graphic on the back usually featuring a Tiger and Gamecock together and a statement explaining that even though the competition is part of the rivalry, both schools share the common ground of giving blood.[64][65]