If it did then the fuel metering head would need some sort of rotating device to distribute the fuel which would need controlling in time with the engine. Much like old fashioned diesel systems.
Ive had the distribution head off the metering unit recently and can't tell you there is no way it can tell where the engine position is, or even manage How much fuel goes to each injector individually. It's literally a continuous system whereby the injectors are all spraying while the engine is running, relative to the position of the air metering flap. The more the flap is drawn down the more fuel is allowed to flow through to the injectors.
I'd love to actually take the distribution unit apart to see exactly how it works. Anyone got an old one spare?