Is it possible to have a heart attack with normal vitals?

I currently am having chest pain which radiates to the upper back between the shoulder blades. I feel the discomfort during inspirations and expirations with slight dizziness. However when i take my blood pressure, it shows 138 over 82 with heart beats per minute at 64. I do cadiovascular exercise three to four days a week for about an hour and sometimes more. I do smoke cigarettes, about 20 per three to four days. Is it possible to have a heart attack with normal vitals? should i rush to an emergency room?