Yes, it is possible for a person who is otherwise healthy to have a heart attack. Although certain risk factors, such as high blood pressure, high cholesterol levels, smoking, and obesity, can increase a person’s chances of having a heart attack, there are cases where people with no apparent risk factors have had heart attacks. Sometimes heart attacks occur due to genetic factors or structural abnormalities in the heart. In other cases, heart attacks may be triggered by acute stress or physical exertion.