Do we have to use the structure ?"có ... không?" for making sentences? Is this example sentence something a native speaker would say?
This is actually a very good question. I'm glad you asked. If you wanted to sound more native then you would say 'bạn có muốn cái áo này không?' If you ask questions using rising intonation like 'this?' or 'you want it? or 'can you?' then it is usually followed by 'không' or 'hả' depending on the context.