This is *[The Medusa Touch][1]*

> 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 ##
https://www.youtube.com/watch?v=T3GAok8P0Ds

Found with a search for `film mind powers causes accidents`

  [1]: https://www.imdb.com/title/tt0077921/?ref_=ttls_li_tt