Bad joke.
No. What JcX meant that since gravity pulls on you less, you jump higher, but since you jump higher, you fall farther.
The answer to your question cannot be determined unless your question is more specific.
If you assume that you mean jumping using your own strength at a lower gravity, I think you would not die, just because you still wouldn't be able to jump high enough to hurt yourself. Think of astronauts on the moon.