Yes and no. Truthfully, my own photography skills have grown significantly since most of those pictures were taken 3 1/2 years ago. That camera kickstarted me getting serious about photography again, and in the last 6 months, I've even started doing some pro work.
The RX100 is an excellent camera. In the hands of anyone, they can likely get better photographs than they would with a budget P&S. That said, not all those pictures are just a matter of pointing and shooting. The fireworks shots required a certain knowledge, use of a tripod, etc. The dark rides shots required understanding of the exposure triangle. The Tower of Terror HDR shot required knowing how to use the creative modes within the camera. The sunset shot required actually being in the right place at the right time, knowing how to compose the shot, and how to bring out a bit more in post-processing.
So yes, a pure amateur can get some good shots. But the more you teach yourself, the more you learn, the better shots you will get.
