There is no built in option for this, nor have I seen any such feature in any other map platform. That said, here is an approach I would take to try and accomplish this;
- Calculate distance and heading from your desired rotation point and the center of the map.
- Follow this animation example: https://azuremapscodesamples.azurewebsites.net/?sample=Simple%20Symbol%20Animation but use the rotation point, distance and heading offset to calculate a new center for the map, and set the camera rather than the position of a feature. The following math functions will help: