Yes, the pump could still be bad. Fuel pressure is regulated be the fuel pressure regulator, and that pressure relates to the fuel intake system - rail, injectors, etc.
Check the fuses...a good little trick is to simply turn them all in their holders. There's a separate fuse in its own holder under the hood (one of those horseshoe type which is 25 or 30 amp) which is located just behind the battery. I've seen them attached to a bracket there or sometimes just flopping around. That fuse is for the fuel pumps. You can usually hear the fuel pumps activate when you turn the ignition on. Of course that doesn't mean there functioning properly, but at least you'd know they were getting the required juice. You can take about a 10 ft. length of garden hose, put one end into the gas tank inlet and bring the other end into the cab and listen, a la stethescope, for the gurgling when you turn on the ignition.
Could also be the ignition computer, which is very expensive to replace. I'm not sure how to diagnose that. A shop replaced mine a while back when it had the same symptom.
Then of course there was the time when my gas guage was misreading and the car wouldn't start because it was out of gas, and I didn't know it!!!