I was drinking and it went down the wrong way of course i coughed but when i did it hurt like in my chest when coughing is that normal?

Yes: The cough we have when "something goes down the wrong way" is a very powerful protective mechanism. It is a VERY strong cough and can cause some pain in the chest. Once coughing spell over, chest discomfort should be gone in several hours or may last up to a day. If longer, see your doctor as you may have injured muscles in chest wall and some cases can even break a rib. Hope this was helpful.