A book I read as a teenager - probably eighties - about a man (or boy?) who tests very high for potential telekinetic power. He goes to the academy for training but, no matter how much effort he expends, he cannot make the smallest object move.

He flunks out and later, with the help of a friend, discovers that he can move objects "up"; that is, into some other "place" or dimension. They simply disappear and he can bring them back anytime he wants, wherever he is.

The rest of the book is about him operating outside the tyranny of the academy and his flight/fight from them. I seem to recall a space station may have been involved at one point.