Can heart pain that goes to the arms and causes numbing in arms and hands be a problem?

Certainly: Radiating or referring pain, particularly to the left arm, hand or jaw are classic symptoms of angina and can indicate a heart attack. Women, in particular, often describe back pain when experiencing a heart attack. Please see your doctor as soon as possible if you are experiencing these symptoms.

Yes: Absolutely do not ignore this and get checked out right away!