It is indeed possible if the plants are kept properly warm. It would be good to cover the plants during winters, tucking them in and letting the natural light do all the work. Learning this to do with a little skill would enable you to harvest fresh homegrown vegetables any time of year.
Gardeners know it well that planting vegetables normally wouldn’t grow well in winter. Every generation seems to have a better idea and sometimes these ideas give birth to new ideas.
An innovative idea would be to extend the growing season by at least a month on either end with the raised bed hoop house. The wooden raised bed with required dimensions needs to be installed with flexibility for removable hoops that could be draped heavy with clear plastic. The bed could be as long as we wanted. The plastic should be used to keep out the cold air but let the sunlight in.
The beds should be no wider than four feet. This is because a person’s arm reach usually averages around two feet and this made it possible to pull weeds from either side without straining or having to walk onto the garden bed. Staying out of the garden bed avoided tamping down the soil.
It would be good to plant and seeds more than a month earlier than usual by keeping the plastic tucked around the hoops and the ends of the bed. You may take the plastic off the hoops for the summer, but at the end of the season, you should manage to keep cold tender plants going for a month longer than usual, even after a few good frosts.
Many vegetables including few varieties of lettuce and spinach and other greens can be harvested all winter long with a similar setup. Instead of using clear plastic you may also use floating row cover that keeps plants warm. Floating row cover also ensures keeping insects off the seedlings. The cover enables sunlight and water to permeate its fabric. Different types of row covers with varying strengths are available which would offer even more protection.
It is possible making the hoop houses portable so they can be moved from one garden bed to the other offering a chance to rotate the crops each season. It is extremely important to tuck the cover completely around the bed including both ends and secure it to the ground by either laying boards or pinning it tightly. You can lift off the plastic to harvest your lettuce or spinach, but cover it back up immediately and don’t lift it again until the next harvest.