Hi,
Yes, once you have acquired the cloned user session, you can use the vimPort to call different vCenter Server APIs.
We have an example of how to check for certain user privileges in our remote plugin sample present in the vSphere Client SDK deliverable. The code that shows this is in:
<sdk-folder>/samples/remote-plugin-sample/src/main/java/com/vmware/sample/remote/vim25/services/AuthorizationService.java
Best Regards,
Denis