Is Psychokinesis a physical impossibility?

One of humanity's oldest dreams, or fantasies, is the ability to move objects in space directly by mental will power alone, without the mediation of the human body. We can see this in the concept of "magic", which is largely based on this facility. We can see this in the capacities of the great mythical sages and religious figures throughout all world cultures to levitate and control sometimes enormous objects in their environment -- mountains, seas etc. -- merely by their own thoughts and human will. We can see this in science fiction, horror fiction and, of course fantasy fiction -- Carrie, Stranger in a Strange Land, all the witches, sorcerers and wizards in the fantasy literature. One of the more interesting and analytical treatments of this issue is from one of classic science fiction author Isaac Asimov's last novels, Foundation Five, the last in his classic Foundation series. In this book he posits an earth-like planet, Solaris, in which a mere 1500 or so inhabitants each possess their own small, isolated nation, manned by robots, and controlled by their psychokinetic abilities. They have genetically engineered themselves to possess large temporal lobes in their brains, that process and direct the energy derived from temperature variations within and throughout the planet itself. I'm not sure exactly how much sense this makes, but, it is an interesting thought, anyway. In mid-twentieth century there was considerable formal scientific research on psychokinesis in Universities and by the U.S. and Soviet militaries. Its practical applications, if it really existed, are obvious. Over time, there was little evidence for large-scale psychokinetic effects. However, so called microeffects, were highly significant. While there is much less formal research on psychokinesis today, in Western Europe there are still researchers claiming that the evidence for psychokinesis is just as strong as for well accepted scientific phenomena such as Einstein's Theory of Relativity. Don't shoot the messenger here, I'm just reporting their claims. So, is psychokinesis a physical impossibility, or are there meaningful theories explaining how this phenomenon could work? Something in the sub-atomic, quantum mechanical realm, perhaps?