No. the name Orangemen refered to the Six Nations of the Iriquois Confederacy.
http://www.college-basketball-tickets.net/syracuse_orangemen/history.htm
Nicknamed Bill Orange, the original mascot, an Indian warrior, of the University got its name from Syracuse being the salt city and because Syracuse is the home of the Six Nations of the Iroquois Confederacy. Still located on the Quad, the statue of the Saltine Warrior, a gift of the class of 1951, was sculpted by Louise Harriet Meyers. The warrior stayed as the mascot until 1978 when American Indian students complained that the mascot was offensive. For a time, a Roman Gladiator served as the mascot and students even proposed the Abominable Orangeman, an orangutan and Egnaro the Troll as new mascots.