Anything you want to know about different kinds of winters and phenomena they might bring forward, just ask a Russian or a Finn...
What
g55 said actuallly got me into thinking. Let's say the heavens give 1½ to 2 meters of snow. So without engine-powered modern snowplows it would be basically impossible to get anywhere, well at least without skis or snowshoes.
If the woods were something like less than a mile away it might be possible - with a couple of days of hard labor - to shovel a path and get fresh wood (which actually is pretty bad for burning: normally you'd have to dry the wood after cutting it for a year or two before using it, but the supplies of dry wood would most certainly run short).
But to shovel a riding path farther away in freezing cold and under-nourished... probably not: especially after the snow packs tightly into a snowdrift.