I have two data points thet I ponder occasionally:
1. I have met three identical twins so far. Each of them has reported having some kind of communication with the other twin that could not be explained by conventional means. I have no reason to think any of them lied.
2. My sister used to be very into astrology. She could predict someone's star sign within a few minutes of meeting them to much better than 1 in 12 accuracy.
I do not present these as proof of anything. I do not expect anyone else to believe them or give them any credence. This is just anecdata. I haven't worked out any rational explanation for them.
But I'm inclined to believe two things from them:
1. Brains are weird. Human psychology is complex and fascinating and does things that we do not understand.
2. That there are well-conceived, well-constructed scientific experiments that show there is no scientific basis for telekinesis or astrology, that these are not "real" things, does not necessarily contradict the human experience of them as "real" things. We do not inhabit a well-constructed scientific experiment so our lived experience of life may be different from the actual truth.