No problem during the day when the East & West aprons are fairly empty, no chance at night I would have thought.
Certainly no chance at night, but because of the airports' differential charging policy designed to encourage more daytime cargo flights, this wouldn't be a problem as there are generally only two or three aircraft parked on the Western apron during the day. I doubt very much if three or four 747s at once would cause too many headaches for the DHL third party handling team.
R5