Cooking might need a little more time in the oven ;)
Right now you should be able to cook meat if you're close to a campfire. You will likely need a cooking tool (iron pot for example). You should be able to cook meat this way. Other things will require you to find recipes, but cooking ones are only available at random in different parts of the world.
I have a cooking pot, I am standing beside a hearth, I have some fish meat and I even have wood just in case I need to start a fire. The option u comes up in the inventory when I select the meat but clicking it does nothing.