Magic:
Well, the big 'flaw' with the 'magic' when featured by fantasy etc. is that it is predictable in a way that makes it usable for some purposes by people skilled in the art.
Ehum! Thus magic must be governed by some 'magic law'. There are 'recipies', 'formulas', 'patterns'. That happens to make it exactly identical to applied science and technology. So of course magic exists and is all around us. It's only that we generally do not think of it as magic when we turn on the water tap, electric light, microwave oven, TV, computer, use a videocamera, fly an airplane...
I've never seen 'magic' described or defined in any way that makes it something different in its essence than applied science. Nor can I think of a way, other than that 'magic' 'laws' are the figments of someones imagination, and for great convenience, can be used with remarkably little education, training, skill, and minute investments of time and effort, while natural laws are observed in real life and usually demand a lot of effort and ingenuity to make use of.
I'm afraid it doesn't matter that the authors insist on treating applied 'magic' as if it is something different than technology, because it still isn't.
So to racap: If someone makes claims of 'magic' and claims that it is beyond science, then it is an imaginary invention by that person, and in fact doesn't actually exist, even if that person would claim so. If it seem to exist, then it's a trick and someone is cheating.
"Could it be that some people can encourage events..."
No. (Only through interacting with other persons and put oneself in the right spot to pick up opportunities.)
I would think it natural that everything is connected through other 'planes of order' than we are capable to observe. But precisely because of that it cannot be used or identified. Beyond that, I do not want to make any philosophical reasonings about our existance and the deeper nature of that, in any contexts that has began with 'magic' and 'psychokinesis'. Sorry
I do however believe that many people really experience strange things that for lack of better fall into the cathegory of paranormal, parapsychology. The experience however does not mean that the rushed and immediate interpretion is true, or that the paranormal item exists.
I myself have encountered 'ghosts' in periods since I was a child. Since about 4 years back, I encounter a 'ghost', or 'ghosts', 2-4 evenings/nights every week when I'm residing alone in a certain large building. I hear 'someone' 'walking' and 'opening' and 'closing' doors. And I see 'someone' in reflections in glass and glossy surfaces or see shadows of 'someone'. I even sometimes think I can see 'someone' at the very edge of my vision.
I'm experiencing something I cannot fully explain. Though it's likely that it has something to do with that elements of the house' structure may be moving or settling. My brain is used to interpret things as fitting into prelearned patterns and then fill in the the whole pattern before it realizes it's incomplete and checks itself. I think it's something like that going on.
Anyway, just like in the case of UFOs, just because it isn't an aeroplane, it doesn't logically follow that it is an extraterrestial spaceship full of green or grey little aliens.
In the same way, it seems farfetched to assume that I am encountering the soul of a dead person that somehow partly breaks through into time again.
I believe there were no UFO reports describing 'flying saucers' before George Adamski wrote his book? In the same way, I think ghost encounter is an explanation that suggests itself due to all the ghost stories we have been fed.
I think it's much the same with all the rest you hint at, "dimensional rifts", psychokinesis. It's the knowledge of that paranormal theory in your mind that affects how you interpret experiences which you lack explanations for.