Could my 340 block be filled?

Are you talking about the pickup coil in the distributor? Is that something that can be bad and only fail when car is warm and has run for a while. The restarting the car when hot and having no spark has been a solid symptom for a while.
I agree with tooljunkie, I had a 1990 318 Dodge D-150 that had these very same symptoms. Truck would run and then for no reason die. I'd wait just a little while and it would crank up. Wound up being the pick up in the distributor.