I have some deer bones I would like to cook into broth. All the recipes I found call for slow cooking many hours. Is it possible to fast cook it on a stove top (1-2 hrs max)?
Yes, you can, if you use a pressure cooker. You can easily create stocks and bone broth in less than an hour. I prefer this method. I make all my stocks in a pressure cooker. I save a lot of time, and the flavor extraction is excellent. I ramp up the alliums, because their flavor tends to get muted in the pressure cooker. Otherwise prepare as if you were cooking your stove the traditional way. Then, cook at the highest setting for 20 minutes to an hour. Let the pressure come down naturally. Strain.
Is it possible ? yes.
Will it give out the best result, ie. extract the maximum flavor, maybe not.
One way to help, would be to roast the bones at high temperature with some aromatic vegetables (onion, carrot, celery...) to get some color on the bones before starting your broth.