Yes, it's possible to fly in the winter. I fly 12 months of the year in central IL. Anything above 20F (-7C) is flying weather for me. The winter can open new flying sights. We have a park that they keep plowed but not many use in the winter. So I'll fly off the parking lot when no one else is there.
Tips
Keep you batteries warm, I have a vest with pockets that I keep mine in. Wear the vest under all other coats. In cold weather, your batteries will not last as long. If you normally fly 10 min in the summer, cut the flight time down to 7. If you don't keep the batteries warm, cut flight time down to 5 min.
Wear gloves. I'm a thumb flyer. So I will cut a small slit (3/4" or 20mm) in the thumbs of a pair of gloves. Just poke the Tx sticks through the slits and fly with warm hands.
Prop up. Your motor & ESC will cool much better, you can use a larger or higher pitch prop than in the summer.
Your plane will fly better/faster in the colder, denser, low humidity air.
Keep your setup simple. Everything is more difficult in cold weather.