Life coaching goes back long before Tony Robbins. Most notable was probably Werner Erhard in the 70s and his “EST” (Erhard Seminars Training) which were were self-empowerment workshops. They were part of the broader human potential movement that started in the 60’s (damn hippies, lol) to cultivate wellness and personal transformation.
A good life coach can, indeed, help affect a desired change — but the onus is on the one who wants to change. You can lead a horse to water, but you can’t make it drink.
Important to note that a life coach and a psychotherapist aren’t remotely the same. One studied psychotherapy and the other has an inspiring skillset. A life coach is never a substitute for a psychotherapist. Important to know which one needs. :)