fuel pump is powered by 2 circuits.
There is the fuel pump relay on the passenger side fender, it is controlled by the ECM, primes for 2 seconds or so at key on, and activates whenever the ECM sees crank sensor pulses from the ignition module.
There is a secondary control that is part of the oil pressure switch that provides a backup path to run the fuel pump.
So its most likely one of the 3 components, relay, ECM, oil pressure switch/wiring.
Bob