Nope Cookie was 34.
Some notable Bills 33s include Ronnie Harmon, Sam Gash. The full list:
Wegert, Ted HB 1960
Baker, Art RB 1961-62
Braxton, Hezekiah HB 1963
Joe, Billy FB 1965
Bailey, Bill FB 1967
Gregory, Ben RB 1968-69
Pate, Lloyd RB 1970
Jackson, Randy RB 1972
Washington, Vic RB 1975-76
Reid, Andy RB 1976
McKnight, Ted RB 1982
Harmon, Ronnie RB 1986-89
Fuller, Eddie RB 1991-93
Tindale, Tim RB 1995-97
Gash, Sam FB 1998-99, 2003