Yes, they also make thick mittens for hunting that have a flap you can put your fingers through. With them you can wear a thin glove underneath and stick out your fingers when you need to shift or brake. However, when I was young I made my own hunting mittens that worked rather well. Out of an old pair of military surplus leather mittens I made a slot at about the first joint of the fingers near the palm wide enough so that I could stick two or three fingers out easily. Then I wore flexible wool gloves inside. They were quite warm and worked better than expected.

Now days, I would get a cheap pair of large size polyester fleece lined mittens and slot them and then wear a pair of medium or thin stretchy fleece gloves under neath the mittens. This would be real warm, flexible and would probably cost less than 25 dollars to do.