Engine dies when I step on the gas

I'm thinking my accelerator pump has gone bad in my 67' dart. Few days ago I was driving it home, I barely pressed the gas and it stumbled and died. I've been driving the car pretty much everyday since then with no observable issues. The carb is a 1920 that the previous owner replaced fairly recently now (1-2 years old) The car still idles fine but as soon as I press the pedal the slightest in park, drive, or neutral that's when it gives up. Any thoughts?
Could be the accelerator pump, but could also be a clogged fuel filter. When the engine is off, look into the throat of the carb and move the throttle open. Do you see a strong shot of fuel? If not, the carb should probably be rebuilt. How long has it been since the fuel filter has been replaced?