Can the grand prix run without supercharger?

No, a Formula 1 Grand Prix car cannot run without its supercharger (or more accurately, its turbocharger, as F1 cars use turbocharged engines, not supercharged ones). The turbocharger is an integral part of the power unit, providing the necessary boost to generate the immense horsepower required for F1 racing. Removing it would render the car essentially undrivable at a competitive level.