Can you pop into your health centre, or ring them?
My sister IS a hypochondriac. It is written on her medical notes! She used to get chest pains as part of panic attacks, but has it under control after a course of CBT.
However, if chest pains aren't a normal part of your life I'd get them checked out. I used to get sharp pains in my shoulder during walks, especially if I did something more strenuous than normal. They are worrying things. I get them now, but in my chest, and at rest - but 2 recent ECGs (for different reasons) have come out with no problems, so I am happy to ignore them as I feel generally healthy - apart from the high blood pressure, the diabetes, the knees needed replacing!!
If the pains are unexpected you need to call someone at the very least. Preferably someone medical!