I don't think that is a great idea. I am 47 years old and I have arms like toothpicks. Yet, I manage to get through thick ice with a primitive manual auger, without cursing, enough to catch fish.
As a mechanical engineer and custom tool designer/builder I would say that it would not be a practical idea. Nevertheless, if you have one already, and you have a good cordless drill, and you have a good set or two of batteries for it, and you want to deal with all that stuff, and you have the ability to revert to manual drilling if necessary, then you should give it a pioneering try, and let us know how it worked! I've been proven wrong before, I think. I can think of a couple more technical reasons why to avoid it. If you want a more intense technical discussion, let me know. Stick with a 6" or smaller auger if you do it.
I have gone to some trouble to keep my ice fishing tactics and equipment very simple. There is nothing more aggravating than complex stuff when you don't need it, especially when ice fishing. I don't want to even be bothered tying a knot out there if I don't have to. Imagine dealing with a drill chuck and key, and batteries that don't like cold, and some weird gearbox etc.