There is a fuel pump prime connector, light blue wire, tied in to the oil psi switch. Mitchell doesn't give a location. If you need it, trace the wiring from the oil psi switch. I agree with the others, it sounds like your ignition module has failed.
FYI, Gm used two different methods of controlling the fuel pump with the Oil Psi switch. One cuts the fuel pump pressure if there is no oil psi, the other acts as a back up to the fuel pump relay. If the relay fails, the oil psi switch closes the circuit after oil psi comes up. The result is slightly extended cranking before a start, but it doesn't leave you in 'Tennis Shoe mode'. This car uses the 2nd method, which I believe is the only one GM used on EFI motors.