Am I able to do shallow DoF with RX100?

To my knowledge the AF sensor on the RX100 is purely contrast-detection type not a phase-detection like some cameras use. You can achieve fast contrast-detection AF by using a fast sensor that can output many fps and fast image processor. The RX100 has them both. The sensor can confirmedly output 60 fps from it's sensor and process 10 RAW images in 1 second which is quite fast (even for a DSLR, let alone compact camera).
BTW on the Nikon 1 series the contrast detection AF is even quicker than on the RX100. Is amazing how that focusing type has advanced over the years.

--
Kind regards.
Martin