You have two choices you can either drop the fuel tank in order to access the pump or disconnect the bed and slide it back far enough to access the pump.
You will need to remove the fuel tank to gain access to the fuel pump.
in the fuel tank
Disconnect the negative battery cable from the battery.
The fuel pump is located in the fuel tank. From 1995-96 and up you have to replace the entire sending unit, cost is roughly $300.
Remove fuel tank for access
Rmove fuel tank for accessibilty
The fuel pump can not be rebuilt. Replace it with a new one.
Inadequate fuel pressure. If that 2000 S10 Blazer has a 4.3 engine, it needs 61 to 66 psi (engine off with fuel pump running) to run properly.
Fuel pump relay may be stuck, replace it.
A faulty fuel pump or faulty wiring to the fuel pump. Be sure to replace the fuel filter also.
Probably the fuel pump is bad.
There is no fuel pump reset button in that vehicle.