Yes, happens to me all the time.
Last semester, before I got on medication, It was REALLY really bad. I would get these odd pain sensations in my chest, diaphragm, and areas in my back. When it occured, I would immediately assume it was either my heart or my lungs (I'm a smoker).
However, when the semester ended, I finished my exams, I went to my family doctor, got checked out, perscribed some anxiety beds, then I went to a cardiologist. Had an EKG done, wore a holter for 24 hours (monitors the heart's hiccups) and I had resting echocardiogram AND a stress echocardiogram and both came back fine. Which put my mind at ease.
Since then, I've been on medication and do MUCH better, knowing that there is nothing physically wrong with me.
I suggest realizing that these pains are associated with Anxiety and more often than not, it's nothing serious. In addition to that, go to your doctor and tell him/her about every worry about your health that you have. It will really put your mind at ease to realize that there is nothing actually wrong with you.
Remember, the mind is very powerful organ. Pain can come from nowhere and for no obvious reason.