Yes, you can cook in a screen tent as long as you take proper precautions. You should make sure the stove is away from the sides of the tent to prevent the tent from catching fire. If you cook in an enclosed space like a tent, it is possible to get carbon monoxide poisoning which is extremely harmful and potentially fatal. So, if the screen tent has coverings that go over the screen to shield from foul weather or create privacy, make sure they are rolled up to allow full ventilation and prevent carbon monoxide buildup. You’ll also want to make sure any flammable material or combustibles are kept away from the stove and that there is always someone dedicated to watching the stove at all times whenever you’re cooking.