You can't prove it's existence, but you can't disprove it either. Belief in it's existence is purely based on opinion, not fact.
https://www.google.com/search?q=website%3Afoia.cia.gov+remot...
The downside is that once you do it successfully, no one is going to believe you, anyway. :)
Edit: I would never want anyone to "believe" me, nor would I recommend anyone "believe" anything. There is only direct experience which brings knowledge, this is the standard for consciousness work.
Direct experience by a skeptical observer in a controlled environment.
Preferably backed up by a solid, provable null hypothesis and some statistics.
We don't know anything with absolute certainty, we know many things with overwhelmingly great certainty.
I think psychics are a bunch of baloney too, but by definition the supernatural is not natural and not provable/disprovable. Let's not pretend that the act of disproving has some magic reach because then psychics or creationists or whoever will latch onto that overreach as a defense.
If we can interact with something, even indirectly, we can perform experiments on it.
This isn’t to discount the reality that many psychics are knowingly conning their customers.