There is a danger of the fuel exploding or chatching on fire
If by "stop the engine", you mean turn the car off, then the answer is NO!
It is normal for a carburetor to "suck air" when you are starting the engine or while the engine is running. You should stop the engine before repairing the carburetor for safety reasons.
Some military air craft are capable of refueling in flight
A flight from Brisbane to Dubai is a 22 hour flight. This flight advertises as a non stop flight but will stop to refuel.
Absolutely never turn off the engine when you are in a driving lane on any roadway. A stop sign means stop, not park.
It should go after the full stop.
stop
To stop.
stop the car.
If you look around the cockpit should be a switch or key labeled "Magneto Switch", turn that to off to stop the engine.
apparently you have had a few too many........ And should stop now.
Rev the engine six or seven times before coming to a complete stop. Rev it all the way to the edge every time you stop.