MY first panic attack that sent me to the hospital.. My heart rate was 120 and I felt like I was going to pass out, but I didn't because my blood pressure shot up too. In fact, I was real dizzy, too. When I have a panic attack, the first thing I notice is my heart rate and then it proceeds to the other symptoms. Sometimes I feel like I am going to pass out, but I never have. I think that is my biggest fear, but it has never happened.