The reason I say "no", is because if an airtransport aircraft is operated outside of its Certificate of Airworthyness, then it is operated criminally and illegally. There are no performance calculations available for such aircraft to determine how by how much the t/o distance is reduced if they load towards the read CofG. Therefore, an operator would be unable to legally operated the aircraft as such.As I said, an operator may choose move what load he has towards the rear limit to gain maximum advantage, but he won't be able to determine the extent of that advantage.

The only way that it can legally be done is for the manufacturer to specify alternate cg envelopes as I described.