Sort of.
This probably isn't what you're thinking of because it seems like you're describing something much more mundane. Though I've had that version of it too and with much greater frequency.
But I had 5 people in my life where I felt an instant, almost telepathic connection with. It was a like we were sharing thoughts, it was really weird.
I've since lost contact with 4 of them. Two are ex-girlfriends and I doubt I'll ever encounter any of them again in my lifetime. Nor do I particularly want to.