Not for Shermans. (For some others like the M26, yes, some engine deck grates were air outflows).
On all Shermans, air was drawn in from atop the engine roof via grates by fans at the rear of the engines. On the M4A3, there were twin fans which drew the air in from the grilles, onto the engine assembly and through a radiator. This air would then glow out beneath the rear bulkhead overhang and out towards the rear of the tank.
As for unintended air flow being drawn in from the crew compartment, I can imagine it happened. I wonder if the smaller air intake grille atop the M4 and M4A1s forced more air to be drawn in from the crew compartment versus the very big and efficient grilles of the M4A3?