There are some technical details to work out, but 1 hour to anywhere in the world is feasible with a ballistic missile, and impossible to beat with a supersonic aircraft. Whether those details can be ironed out to provide it commerically remains to be seen, but ballistic missile technology was proven in the 1970s. The ridiculous part isn't because of how long it takes to get on and off a spaceship. Even if it took 3 hours to get on and three more to get off, 7 hours would still beat 17 hours in a plane going Sydney to London.
Well you have to get into planes or rockets, so that time is likely not that different. If its not worth it for rockets, its not worth it for supersonic flights either.