Yes, Cycles is capable of rendering both at the same time. Make sure that the DoF doesn't mask the motion blur though. If the object is out of focus you may not see the motion blur. The strength of the motion blur depends on the shutter speed and how fast the movement is.

[![Render][3]][3]

[![Motion Blur Settings][1]][1]

[![DoF Settings][2]][2]

The following link has a small example project that shows both effects in action. It was created and tested using the official release of Blender 2.8.

[<img src="https://blend-exchange.giantcowfilms.com/embedImage.png?bid=6528" />](https://blend-exchange.giantcowfilms.com/b/6528/)


  [1]: https://i.sstatic.net/lxOOO.png
  [2]: https://i.sstatic.net/0O6uO.png
  [3]: https://i.sstatic.net/lgzD8.jpg