For anyone male or female and chest pressure or chest pain is suspect and a doc should examine you to make sure that you don't have something serious going on with you. However a pulse rate of 166 is way too high and needs to be addressed by a doctor. So the short answer is no....those two symptoms are not normal and you need to be seen by a doctor as soon as possible ecel. It may not be so much as it being heart disease it may be something is structurally wrong with your heart or the electrical that is responsible for running the heart and keeping it beating. If it were me i would not wait and would go to see a doctor now if at all possible if you are still having the chest pain and the high pulse rate before something happens that may not be reversible. Good luck and let us know what happens ecel................