Will the central fuel injectors stop pump from working in a Ford Falcon ea?

No, the central fuel injectors themselves will not directly stop the fuel pump from working in a Ford Falcon EA. The fuel pump is controlled by other components, primarily the fuel pump relay and the engine's computer (ECU). A problem with the injectors might *indirectly* cause the pump to shut off if the ECU detects a serious fault (like excessively rich or lean conditions) as a safety mechanism, but it's not a direct cause-and-effect relationship. The injectors are downstream of the pump; they don't control its operation.