Ive never heard of a fuel pump causing that, normally when they go, your car is dead.
Sounds like an ignition problem for the both of you. replace the distributor cap and rotor, also recheck your spark plugs, be sure they're gaped properly, try another set of plug wires. This sounds like an ignition problem more then a fuel problem. Check what colour your plugs are, if they're white/carbonized/glazed over etc...