Yes, it is realistic. Happened many times in the war... a pilot forgot to switch tanks and the engine dies. He switches tanks, turns it back on. One P-38 pilot was the first recorded to score a kill with engines off because this happened while he was just about to fire. He calmly coasted in for the shot then started up afterwards.
Even Hitech himself flies, and has mentioned on the forums how he's had his sputter out on him before, switched tanks and started up again.