Sort of...  The worklist is normally filtered to Open and Available items.  If you could show Open, Available and Allocated items, you could see all the work assigned to the role even if someone else has one of the work items opened (and thus Allocated from your perspective).  The way I have done this is to use the Worklist Service Broker to expose the worklist as a SmartObject then it is pretty easy to build a form/view to display the data. 

http://community.k2.com/t5/K2-blackpearl/Worklist-Service-Broker/ba-p/889

Is action menu available via broker?

I'm pretty sure the Worklist Service Broker at the link I posted includes a SmartObject that can action worklist items.