Edelbrock Fuel Pump and Carburetor

Carburetors don't pump fuel.
The only pump on a carb is the accelerator pump.
All that is needed for the carb to work is fuel in the carb bowls. If there's no fuel coming out the accelerator pump squirters when the throttle is moved, then the bowl is probably low or dry. If some shoots out, then the bowls may or may not by low. Take the top off and see what's going on. Make sure the float is set to specs.

Glass filter looks empty in the photo. Could be just the picture. It should be full of fuel except for a little vapor bubble near the top. That's a lot of fuel hose, and the headers are a possible source of vapor lock on the way to the fuel pump. Winter fuel is more likely to vapor lock when hot than summer fuels.