Is my Blazer's Fuel Pump Bad?

It is a 2001 Chevy Blazer LS with the 4.3l v6. We were driving down the road and it quit on us. it is not the alternator because i had that tested. i was told to replace the distributor cap and rotor so i did that. i got it to start and it idles really rough. when you step on the gas the car dies. the fuel pump sounded really labored when it would prime the system. then the fuel pump stopped working and it would not start. 3 days later the fuel pump did kick on but sounded labored and again rough idle and would die when stepping on the gas. then the pump stopped working again. is this the sign of a bad fuel pump?