This is The Medusa Touch
John Morlar (Richard Burton) is watching a British television broadcast when an anchorman states that American astronauts are trapped in orbit around the moon. Suddenly someone in Morlar's room picks up a figurine and strikes him on the head repeatedly. His blood splatters the television screen. French Detective-Inspector Brunel (Lino Ventura) arrives at Morlar's apartment to begin an investigation. At first he thinks Morlar is dead, but soon he hears him breathe. At the hospital, Morlar is hooked up to life support systems, one machine in particular monitors the activity of his battered brain. Brunel discovers that Morlar has been in psychological analysis because of his history of being witness to many disasters, other people's disasters. Dr. Zonfeld (Lee Remick), Morlar's analyst, explains that Morlar's delusions had begun when he was a child. He believed that he had caused a hated nanny's death. Morlar's childhood delusions were reinforced at a resort when he overheard his parents...
Trailer
It starts with him being brained by the statue, and being in the hospital, then starts flashing back to his childhood. This review mentions him burning the school down due to the teacher (about 1:22 into the trailer).
The flashbacks to Morlar’s childhood and previous adult life are a mixed bag. Some (like the killing of his parents) come across as more silly then scary. Others like the destruction of his school in a fire, are more carefully developed to justify Morlar’s source of anger (you’ll rarely find a teacher as loathsome as the one here) so therefore more interesting
Found with a search for film mind powers causes accidents