I had no idea. I always assumed he was inspired by SpaceX. October Sky is a great movie btw.
Blue Origin has accomplished practically nothing compared to SpaceX, even if they "landed a rocket before SpaceX". In the 7 years since New Shephard first flew, they've not flown anything new. To this date, BO has not launched a single gram into orbit.
For comparison, 7 years after Falcon 1 first flew in 2006, SpaceX had flown F9 v1.1 and had built a spacecraft that flew to the ISS.
It is not hard to imagine an alternative world where Elon Musk had nothing to do with the SpaceX company and the same achievements would have been reach. Or even an alternative world where the NASA funding would have gone to a completely different company, or—yet even—a world where NASA would have developed this technology them selfs (hiring the same experts off course).
All is to say that Elon Musk is not some essential figure in the development of VTVL rockets. Rocket engineers would have developed it regardless in any world where the Space Shuttle is sunset.