Hmmm well the brain operates on a certain electrical frequency, and sending and receiving messages, radio, TV are well understood. If a person had an abnormal growth on the part of the brain that transmits messages, I wouldn't have problem believing that under certain circumstances, say if an unusually high squirt of growth hormone caused that part of the brain to grow, that the signals being sent could be picked up by an equally sensitive receiver (another person).
I guess the movie about Mutants, is not that unbelievable, given that the human body does respond to chemicals, and under controlled or accidental conditions, an amplification of brain activity, is not so unbelievable