1992 Buick Century Fuel pump?

I'd make sure the battery has a full charge and the connections are good. Then I would check circuits at the fuel pump relay. The relay should be located, underhood, passenger side front, the relay closest to the radiator, if in doubt, match the wiring colors to the wiring diagram. There should also be a fuel pump prime connector, underhood, driverside firewall, at the wiring harness, between the master cylinder and fender. Red wire with electrical connector, nothing plugged into it, shouldn't be hidden. If you use a jumper wire from battery positive to connector, the pump should run, you don't have to use the key. Use an inline fuse on the jumper.