Not directly but it will bolt right in. You need to either use your blower and lim or buy an adapter plate for the throttle body, the Series III uses a different style of throttle body and they bolt up differently and as far as I know the newer throttle body will not work in the 97-03 cars. You will need to modify a few other things as well but they are very simple and won't take much time at all. Let me dig up the Gen 5 swap thread to give you some more info on what all will need to be done.
Personally I would keep the Gen V on it and just modify what needs to be modified.
Here ya go http://www.grandprixforums.net/showthread.php?t=49039