Not a good idea, generally. Apples and other pome fruit emit ethylene during ripening and should be kept away from vegetable crops in storage.
Best storage for apples is as close to freezing and 100% humidity as you can get.
I have an insulated closet in my basement. There’s a window in which I’ve set an electric damper that opens when connected to A/C power. I have an outdoor low-edge thermostat that lets the damper have power when the temperature is less than 50°F. I have an indoor high-edge thermostat that lets the damper have power when the temperature is greater than 32°F. The basement walls are brick painted with latex, and they can get damp, which is good. Also, I have an open tub of damp sand on the floor, but all efforts to keep the air moist fail in cold weather. In windy weather, I have to watch the sand to be sure it doesn’t freeze and open the closet door if it does. In the fall, the weather is too warm to cool the closet much below 50°F until mid November, but I’ve used most of the early season apples by then.