If a 2001 Grand Am was fine but then would not start yet turns over and the fuel pump is running and filter was changed what could be wrong?

The needs for combustion are fuel, spark and compression. It sounds as though fuel is eliminated, I doubt compression. Pull a plug and hook the wire to it and crank it, does it spark?

Just had this problem with my 2001 Grand Am. Was just about to take it to a shop when I ran across an article that said that the RKE (remote keyless entry) system has a bug in it that for some reason prohibits the vehicle from starting. More often than not it happens out of the blue. To fix the problem you have to reset your computer. Put the key in the ignition and turn it to the on position and leave it there for 10 minutes, then turn the key off and try to start it. It should start, worked for mine.