No, psychic abilities are not supernatural - but they are 'super-normal'.
Most of us have lost contact with nature. Our society is built this way:
We try to supress or deny everything that is out of the ordinary.
Children naturally have psychic abilities, but as they grow up to be adults in our society, they learn to deny and forget them.
We think our perception of the world is the one true reality; and those very perceptions become a cage for our minds.
The more we cage ourselves - the more we lose our touch with the flow of nature.
So, unfortunately, psychic abilities are not normal in our society.
But are psychic abilities natural? They definitely are.