Hm, more or less.
The closest that A.dorsata has come to being domesticated was when the vietnamese started using rafters to lure bees in, which has become far, far less common now. You see, the Giant Honey Bee usually makes their nests high up, in exposed places. Tree tops, on top of building, even high up cliff walls, in the case of the Himalayan Honey Bee (A.dorsata laboriosa), so man-made bee hives won't really work for them.
Ahahaha, well, good! Too many people assume that all bees are these evil things that'll sting you as soon as look at ya.
Okay, I'm sure my bee talk is boring you... So, you like reptiles? You've often mentioned them! =D
I really wish I could interact with Apis Dorsata, since they are one of my favorite types of Honey Bee, they"re the only type of Honey Bee that has never been domesticated! Apis dorsata laboriosa, might (and I stess that might), be similar enough to Apis Dorsata to cross breed, but there really hasn't been much gene flow between the two for a hell of a long time. In fact, it's a rather debated topic on whether A.Dorsata laboriosa should even be considered a subspecies of A. Dorsata anymore. (I say yes!)
As you can tell, I like bees... and putting scientific names in italics...
Well, you see, take the family Chamaeleonidae. The different genuses can't mate, they're too different. From family to genus, from genus to species, the differences would be too great to breed different species.
Take Chamaeleo calyptratus and Furcifer pardalis.
Both Chamaeleonidae, but different genus (chamaeleo/furcifer) and different species (calyptratus/pardalis).
Technically just because they're in the same family doesn't mean you can breed them.
BUT if they were the same genus, possibly they're similar enough to mate! Take Furcifer oustaleti (Malagasy giant chameleon) and Furcifer pardalis (panther chameleon) for example. Both are similar enough to each other to mate.