To the original posted question, the answer is absolutely NO.
It is an entirely sealed, closed system. No air is brought in or out of the system, the system works by simply moving air in or out from the accumulator to the air shocks.
Should the system leak, it faults out and needs to be evacuated (pulled vacuum to eliminate atmosphere, like an A/C system prior to filling) and re-filled with dry gas.
The pump is also, as earlier suggested, a very very small CFM pump that would take far far longer than desired to ever fill a tire.