[sad-lumina-owner]

Yeah this does sound like a fuel pump. In mine its in the gastank. I think you might be able to access it from the trunk, otherwise you may have to drop the tank.

You should be able to hear the fuel pump whirring for a few seconds when you turn the key on. If this isn't fixed by wiggling wires or unplugging and replugging connectors, then maybe you need a fuel pump.