Yes, the RX-100 has bracketing settings. On the back of the camera, push the left side of the wheel to bring up the Drive Mode menu. It's indicated by a timer icon and a continuous shooting icon, for ease of recognition. In the Drive Mode, turn the wheel, and you will see both exposure bracketing (+/- 0.3 and 0.7 EV), and also white balance bracketing (Hi and Lo).
I definitely recommend experimenting with the various drive modes, and you will see they offer you a reasonable array of options. Naturally, I wish exposure bracketing were wider for HDR landscapes, but this has not been a problem for me so far, as the RX-100 is not my preferred camera for landscapes. I use it mainly for snapshots and as a camera to have on my person at all times.
It has exposure bracketing, but it's very limited. The exposure range is only up to +/- 0.7 EV, and you can't use it in conjunction with the self-timer, which makes it effectively useless for all practical purposes.