Running the car out of fuel will wear out the pump whether intentional or not. The gas helps to keep the pump cool and when there's no gas the pump can overheat. The car is 25 years old and if it's on the original pump it might be due for a change. Changing the pump is not that hard. you just have to pop up the bottom rear seat cushion by pulling up hard on each end and it snaps out. Then take off the bottom bolts to the seat back. there are also hidden bolts behind the headrests that are covered by flaps then you have access to the gas tank. the pump itself is not that expensive.