Most cars have the same relay switch for the fuel pump as they do for the car horn. An easy "do-it-yourself" test you can do is switch the horn relay with the fuel pump relay. Press the horn and see if it works. If it does not, then the fuel pump relay must be bad.
Fuel pump doesn't stop running even when car is off
How can you tell if the fuel pump relay switch is bad on a '95 Sonoma? We have switched them out.