Another member proposed the same question on a thread here just a couple weeks ago. Majority of the replies said "no." The physiological symptoms of a panic attack cannot kill you. A panic attack can cause erratic behavior that can cause you to do something dangerous, perhaps even causing death.
Once I had a panic attack in the car, and I thought I was literally dying. I was swerving in and out of traffic, racing myself to the ER. Now that could have caused death. Another time I was having a panic attack, I drove into a parking lot and I scratched the side of my van on a pole (pole was in an odd location to begin with).
Majority of people and books will say that a panic attack cannot cause death. I tend to agree.