Does the fuel pump for a pontiac have a reset

No but there is a fuel pump relay. If there is power at the relay and no power at the pump replace the relay. It is fairly easy to check Where the relay is are others that are the same, switch two relays and see if the other item works.

It is a common failure item on these cars. That is to say the fuel pump itself. You still want to check the connection back at the tank for power before you repalce the punp. It is not cheap, but check on EBAY if you need one. I just bought a complete assembly for a Tahoe that was only 80 with shipping compared to over 300 at autozone.

Hope this helps