Yes, there is a check valve in the fuel pump. If it fails, you will have and "extended crank" where it will take a couple of cranking efforts to get enough fuel pressure to run the engine. It will do it every time. Still runs, just a pain to start.
Checking can be done by checking the pressure with a gage, and if it falls immediatly when shut off, close the return with vice grips, check the pressure when shut down, then do the same with the feed line. If pinching the supply line holds pressure, then the pump check has failed.