It depends on what kind of load situation you are talking about. Do you mean loading the AC to a point where it is overweight or out of balance? It's possible to be in the gross weight level but exceed the CG fore or aft of the bird.
IIRC full oil and hydraulic fluid (if so equiped) capacity is already factored in the "empty" weight category for the bird. Fuel is not as that is far more variable.
If you are so loaded forward of CG that a full oil reservoir (assuming a dry sump and something like a radial engine with a significant tank capacity) would take you out of CG, I suppose it's possible but not very likely just on the basis of oil alone.