So the direct comparison is whether the current state of knowledge leaves as much room for telepathy as the state of knowledge a couple of hundred years ago left for germs, and the answer is a resounding no.
Because knowable things preclude the possibility of built-in psychic powers, you need a technological basis, therefore my statement about simulations, aliens, and government implant theories follow - the statement is in perfectly good faith. I genuinely believe science banishes magic and psychic powers to the realm of delusion and bad thinking.
The universe is a big place, and we don't know everything. Scientific thinking has allowed us to start peeling things back, and build on repeatable observations, and develop a framework and structure for understanding how the universe works. It means opinionated germs, psychic powers, the moon being made of cheese, and other things are excluded from things that can be rationally considered to be possible.
Part of scientific thinking is the willingness to entertain any outcome, no matter how impossible or fantastic it might seem, if the evidence supports it. Another part is the willingness to discard incorrect ways of thinking about things - we know what cells can do and how electromagnetism works. There's no unexplained energy consumption or transmissions involved in human biology that would even hint at the possibility these things could be real. There's no evidence to suggest any possible mechanism to achieve magical or psychic powers.
There is a lot of evidence that humans lie and cheat and defraud eachother - and themselves. The presence of evidence discounting the possibility of special powers, in the additional context that humans are really bad at perceiving baseline reality or communicating proper error bounds, means the only rational way to look at claims of psychic phenomena is to discount them and spend time on meaningful things.
Psychic phenomena aren't real; they're a dead end. That's about as close to "proving a negative" as you might be able to get. There is no magic.
Yet. Keep in mind that everyone thought getting sick was magic until germs were discovered, we used to be completely unaware of electromagnetism, etc. etc.
> If you wanted to posit some sort of technological mechanism, then you're getting into simulations, aliens, secret government implants, or other theories that lack plausibility as well.
This isn't a statement made in good faith, you're pre-poisoning the well with a slippery slope.
There appears to be ample scientific evidence that at least some future events already exist. Check out _Time Loops_ by Eric Wargo for a good summary.