If you have a SOS wiring kit powering an AEM 340 LPH pump, can the main/fuel relay fail under the voltage requirements?

I ask because I'm troubleshooting a start then 2 seconds later switch off problem. If that relay is bad (or any relay like ignition) will the fuel pump even prime or will the car even start?
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SOLVED - the issue was caused by a stuck open VTEC solenoid I swapped in recently. Went back to original and the problem disappeared

 

and how did you discover this?

just reverse of what you installed?

 

When I recorded a video for my friend at the end of it I said "it sounds like a race car with very aggressive cams...". That was the clincher
I then decided to do a little research first to see if the solenoid can actually fail or malfunction like that. I found such info. I then went to disconnect the solenoid but leave it on the head. Tried to start and the problem persisted. Then I removed the solenoid. That's when I saw the difference between it and my original one.