I think I know what you version of dwarfism is Jhco50. How much strength you have in your arms is going to be the deciding factor. I am sure there are pistols and rifles that have triggers that can be adjusted to something you could pull consistantly, but can take the weight of the the firearm. My wife has a .22 that has a 2.5 oz trigger pull, and is very easy to rack (it is a target pistol) but if you want to hunt something bigger than gophers, it really would not be suitable...but it might be a place to start. However, a 22 caliber pistol can be deadly with practice.
As for a rifle, I have a friend that is in a wheelchair, (lost his legs) and he has a special rest that attaches to his wheel chair for his rifle. Again, it will come down to how much weight you can lift. Don't get into big magnum calibers, they are too punishing.
Depending on what you wish to hunt, and what the firearms restrictions are where you live (in WA you cannot hunt big game with anything smaller than 25 cal). Accurate shot placement is more important than caliber, OK? Look for the smallest legal caliber for the game you wish to hunt.
Now, hand size. That becomes a problem with a lot of firearms. Our oldest daughter is a big girl (5' 8") but has very small hands. she likes to shoot, but she has a lot of trouble with finding something that fits her tiny hands. What she ended up with for a rifle is a custom AR 15. You might also need to go the custom route. There are people that will mold plastic to fit your hands, and there are others that will carve a stock, specifically for you so it will fit your "pull" (shoulder to hand distance) and the size of your hands.
May I specifically recommend that, in a rifle, you look for someone that will build a custon stock for you that is "buffered" (basically has a shock absorber built into it). It will make shooting a lot more pleasant.
You can build a rifle, that is you can purchase just a receiver that works the way you like, then you purchase a barrel in the caliber and length you want, then you have it stocked specifically for you. Generally this is very expensive, but it does not have to be. Find a good custom gunsmith online and discuss what you need, give him a budget (what you can afford) and see if you can find one that will maybe do it for the advertising...I am sure there are more people that have dwarfism that want to shoot and hunt then just you///don't you think?