Yes. (because it is designed and developed by people like me……. 😉
Generally, most OEMs don’t alter the pedal map or remove boost etc at “low fuel” levels because you still might need full throttle in an emergency situation, even if you are low on fuel!
What they do do however is to introduce a calibrated misfire or “hesitation” into the engine when fuel level gets critical (generally, when the system starts to have trouble maintaining a set fuel rail pressure). That misfire isn’t a “real one” it isn’t caused by low fuel, but is done to alert the driver to the fact they really need to fill up!
When the system finally cannot maintain a fuel rail pressure due to lack of fuel, it will cut the engine completely, but only if it is at low speed / idling. Otherwise, the engine will continue to run normally right until the point it stalls due to lack of fuel!