I can't cook. Nevertheless, I can provide food for my family. Here's how I do it. I pick up the phone and order food from a restaurant that delivers. "A restaurant that delivers" is a restaurant that will bring the food to your house. In the United States, customarily, pizzerias deliver. So, "I can't cook, but I can order pizza."

That this someone is not able to cook (making food) but can ring and buy pizza.

Hi H.A, "Q: Do you cook food for your family? A: No, I can order pizza but I can't cook!" I feel that your confusion arises from the wrong sequence of ideas in the answer. If we rearrange the answer: "No, I can't cook but I can order pizza.", then we are answer the question first (No, I can't cook) before providing more details on your preference (I can order pizza). Hope this helps. Cheers, Lance