What would cause no power to the fuel pump?

did you test your inertia switch and its circuit

There is a fuel shut off switch (inertia fuel shut off-opens on impact) in the wiring between the fuel pump relay (in the under-hood fuse/relay box) and the gas tank. It may have opened. I don't know where it is located, it may be behind a kick panel under the dash. You may have to ask someone where it is.

The fuel pump fuse is a 20amp fuse, also in the engine compartment fuse/relay box. This fuse and it's wire is the power feed for the fuel pump relay.

You need to troubleshoot the relay and terminals. First try a different relay. Another relay in your car may be same part number relay as you pump relay, so check for that. Swap in a known good relay and try it.
If no help, look at relay. Is it 4 terminal or 5 terminal? If 4 terminal, easier to check. One terminal will be your power source, and hot at all times, so check for that-use your jumper wire (if no testlight or voltmeter), stick end in terminal and just touch metal, looking for spark indicating power. If no terminal has power, maybe only hot with key on, so turn key on and check for power. If no power, the feed from battery to fuse block is lost. If you have one power source, another terminal will be to the pump, the one you turned pump on with. Terminals 3 and 4 will be the signaling source to turn relay on through coil side of relay, and a terminal to ground, also on the coil side of relay. If you have constant power on one terminal, check for the signaling power. When the car is cranking over, the signal terminal should be hot-the signal will be coming from engine computer. So when cranking, relay socket should have two hot terminals. If you don't have two, you're right, relay is not getting correct power to the fuse block. BTW, don't use jumper wire to check for signaling source, use a testlight. Don't want to cause spark from computer wire.
What is EGI? Not familiar with that.

The pump should have a fuse in the fuse block. You need to check for power in the fuse block and you need to check power to the pump relay.

Sometimes there is a fusible link to the Relay. If you check the connector terminals for power where the Relay plugs in, you can determine if the fusible link has blown. You could have already replaced the bad parts and now need to restore power to the Relay.

MY 93 K1500 BLAZER DID THE SAME THING. I RAN A HOT WIRE FROM THE BATTERY INTO MY CAB TO A TOGGLE SWITCH . AND ANOTHER HOT WIRE TO THE POSITIVE WIRE OF THE FUEL PUMP ON THE OUT SIDE OF THE TANK. NOW YOU DON"T NEED TO GROUND THE FUEL PUMP OR TOGGLE SWITCH OUT. THE FUEL PUMP IS ALL READY GROUNDED. MAKE SURE TO PUT A 20 OR 30 AMP BREAKABLE FUSE IN BETWEEN THE WIRE FROM THE BATTERY AND TOGGLE SWITCH. I DID THIS ABOUT SIX MONTHS AGO AND IT HAS WORKED GREAT EVERY SINCE. JAKE .B

fuel pump relay

The GRAY wire i believe going to the fuel pump is the hot wire it should come on for 2 seconds with just the key in the on position this is were you should check voltage for 2 seconds then it will go away until you crank the truck.Your oil sending unit is behind your distributor that could be the cause .

check your trunk for an emergency shut off button for fuel pump its usually a black littile box on the side with a red reset button in it

something is killing the relays poss fuel pump drawing to much amperage check pump with amp probe is pump noisey?