Given that this is entirely possible...
...do you really doubt that telepathy exists?
Army developing "synthetic telepathy."
I have had telepathic "happenings" quite a few times and used to send my sister messages which she picked up. Once, after a night of tornadoes while out camping not far from Miami, Oklahoma, I sent a telepathic message to my friend's son who was in Tulsa to tell him that his Mom and I were fine. I spoke to him via phone the next night and the first word's out of his mouth were, "I got your message." I hadn't asked, had only answered the phone and said, "Hello."
I really ought to start practicing it again. I'm out of practice.