I had pleurisy once when I was in my 20s. It hurt like hell! They made me cough a lot prevent it going to pneumonia.

Mayo says this about chest wall pain:

One of the most common varieties of harmless chest pain is chest wall pain. One kind of chest wall pain is costochondritis. It causes pain and tenderness in and around the cartilage that connects your ribs to your breastbone (sternum).

In costochondritis, pressing on a few points along the edge of your sternum often results in considerable tenderness in those small areas. If the pressure of a finger causes similar chest pain, it's unlikely that a serious condition, such as a heart attack, is the cause of your chest pain.