I'm not sure, but I think I once read something about being able to buy a catalyst additive that can speed up the curing time. I imagine different brands/mixes have different curing times as well, maybe it might be worthwhile to do some research and find an epoxy compound that works faster.
Apoxie sculpt is a chemical reactions, and as a rule heat speeds up chemical reactions so putting it in a hot room, or sticking it in the oven for a bit on low will speed it up. I usually just leave my figures in the warmest room of my house to cure, which conveniently is my bedroom.
I recommend giving it the full time. it is like a meal, rush and you will not get a great tasting one. I usually have various works in various stages so I can work on different things will works cure.