What can you eat the day after surgery for pulling wisdom teeth out?

Why, yes, of course you can! BUT! It is encouraged/recommended to eat only soft foods at first (yogurt, broth, fruit smoothies, mashed potatoes, Applesauce, oatmeal, etc)

Do not try eating crunchy, sticky, greasy foods.

You are trying to make it as easy as possible for your mouth. You don't want to have to put more work into cleaning out your extraction site with too much food debris. You also don't want any potential threat to your wound with sharp foods.

You also need to drink plenty of clear fluids and stay away from sodas, hot, and Alcoholic Beverages.

Also, be certain NOT to drink any liquid through a straw. The suction formed within the mouth by that action could pull out the packing and/or blood clot in the now vacated area. If that comes out, you'll begin some serious bleeding and probably have to rush back to the dentist.