Currently - no. Stupid, huh?
But you can copy/paste objects with the transform tool, and the transform tool lets you select a group of objects, so basically yes you can, but in a really stupid way.
We haven’t implemented this yet, since now we are working on a huge release, that will change many of the unusual/stupid/weird things in the workflow. Eg. groups will totally change, and will be much much smarter. Sketches will be automatically grouped, etc.
Sneak peek: Sneak peek: constraints and dimensioning