Answer:
No.
Explanation:
A radio wave is an electromagnetic wave and all electromagnetic waves move at the speed of light, 3 * 10^8 m/s.
We can find the time it will take for the signal to get to Mars from Earth:
Time = distance/speed
Time = (1.5 * 10^11)/(3 * 10^8)
Time = 500 secs
Hence, it would be impossible for the explosion (which occurs 300 secs later) to have been caused by her radio signal pulse.