I would check to see if there is any concern with the wiring harness to any of the relays. (i.e. fuel pump, pcm relay) maybe go over and wiggle or make sure they are seated in the connectors properly.
If it has been in a wreck and some body work has been done. I would recheck all the grounds on the vehicle in the damaged area.
If you are concerned about fuel, take a sample and check for contamination. Change the fuel source.
Make sure there is no aftermarket modifications done that might cause this concern.
Monitor what happens when the concern is present, i.e. only on left turns, when you turn certain acc. on, like the heater etc. Check the level of fuel when present. Does it happen after a rain storm or when the car is washed.
Check for pending codes in the pcm. Fuel pressure gauge if you have one, tape that to the hood or winshield and monitor fuel pressure at time of concern.
Make sure vehicle charging system is operating correctly.
All preventative maintenance has been done correctly.
That would my starting point.
I would