Eric Stealth (aka Vegeance, Arch Sabre, Cosmic Phoenix) is a superhero in all Comic Universes that no one mentions or heard of. His telekinetic powers manifested at age 3 when his then nanny saw him manipulating the fire lit by a match light up a candle. At age 5, he accidentally turned boiling water in vapour that was to be used on his mother's tea. Due to his innate abilities at such a young age manipulating fire and water and being a danger to his older siblings, he was sent to an orphanage (much like Cyclops). At age 6 he developed a mistrust of people and caretakers around him that inadvertently activated his telepathic abilities creating fantasy worlds (or alternate universes) that portrays a loving family and acceptance of friends.
Charles Xavier was accidentally telepathically called upon when Eric was creating one of his alternate universes. Charles having experienced such power from a boy at age 6 tried to reach out to him but was blocked out from entering Eric's mind completely due to Eric's inability to relate and trust people after he was sent to the orphanage.
Like most mutants he became an outcast never relating to his peers in grammar and an high school. His teachers were often full of admiration in that he excelled in the arts and later on in technology. After graduating from high school his telepathic and telekinetic powers became very useful after accepting several jobs in medicine and the computer industry. He used this to his potential at early adulthood becoming one of the most powerful technopaths in world (much like Apocalypse). With his experience in health and medicine his mutation allowed him to repair his body quickly from massive injuries (much like Wolverine) and heal others (i.e., Elixir).
Above and beyond his powers emanate throughout the universe and was called upon and chose to become a host for the Phoenix Force. Much like Jean Grey / Dark Phoenix he was set out to destroy unimportant and war infested galaxies, but chose very hard not to eliminate them due to his peaceful nature.
This is when he got in conflict with Galactus. With his powerful never-ending telekinetic and telepathic powers he decimated and turned Galactus into dust particles with a blink of his eye and made his entire entity remain as dust in order not to destroy any more worlds and/or galaxies.
During the Age of Apocalypse, he created an alternate universe to lock Apocalyse into vacuum forever and telepathically altered his mindset to think that he was still destroying the earth and humans and making evil mutants flourish.
So yes telekinesis and telepathy are separate entities of power. But having both in conjunction with each other much like Eric Stealth has is an advantage and very dangerous in any comic universes. Eric still has not fully mastered his control of his alterego maniacal pure instinctual prowess of being a Dark / Cosmic Phoenix.
This is where he eventually led Charles into his his mind to figure out how to control it and prevent it from fully consuming him.