Hello
I take it that you mean by "The engine will attempt to turn over but no fire," is that the starter will turn the crankshaft. Saying that the engine will "attempt" to turn over implys that there is something wrong with the starter system. No fire I would take to mean that you don't hear any cylinders firing.
How does the person that you got the car from know that the car needs a fuel pump? The car could of quit running because of other items.
Am I correct?
Dan