Can you carburate a fuel injected engine?

No, you cannot directly carburate a fuel-injected engine. The engine's management system (ECU) and fuel delivery system are fundamentally designed for fuel injection. A carburetor is a completely different method of fuel metering and delivery. Trying to retrofit a carburetor would require an extensive and likely impossible redesign of the intake manifold, fuel system, and potentially the engine management system itself. The result wouldn't be a functioning engine.