Answer:
Yes.
The first Arizona State player to win the Super Bowl was KR/RB Travis Williams of the Green Bay Packers in Super Bowl II.
Some others are ...
QB Danny White and LB Bob Bruenig of the Dallas Cowboys in Super Bowl XII
DB Mike Haynes of the Los Angeles Raiders in Super Bowl XVIII
DB Mike Richardson of the Chicago Bears in Super Bowl XX
RB Gerald Riggs of the Washington Redskins in Super Bowl XXVI
DB Darren Woodson and DL Jim Jeffcoat of the Dallas Cowboys in Super Bowls XXVII, XXVIII, and XXX
DB Craig Newsome of the Green Bay Packers in Super Bowl XXXI
QB Paul Justin of the St. Louis Rams in Super Bowl XXXIV
OL Grey Ruegamer of the New England Patriots in Super Bowl XXXVI and the New York Giants in Super Bowl XLII
DB J.R. Redmond of the New England Patriots in Super Bowl XXXVI
OT Marvel Smith of the Pittsburgh Steelers in Super Bowl XL
LB Jason Kyle of the New Orleans Saints in Super Bowl XLIV