They both fall under the umbrella of supernatural, but magic and psionics are actually very distinct. Magic, according to everything I've read, is a manipulation of energies relying on specific conditions, whether they're thought processes or external catalysts.

Psychic powers are much more innate to a person's mind, always relying on one's own spiritual energy. They're a very simple imposing of your desires or expectations onto reality, or attunement to signs of fated events. They're also much more heavily determined by a person's nature and mental horizons, rather than magic's root in research, environmental factors, or other conscious or external influences.