Well, now you can with the latest release of vCloud Director 5.1 which introduces a new option called "Open in vSphere Web Client".
Note: You will need to be a System Administrator in vCloud Director to perform this operation as you will need access to the vSphere infrastructure.
When you open a given vCloud Director task, you will be defaulted to the vCloud Director task details as you would expect. In the same view, there is also a new tab called vSphere Tasks which contains all the vCenter Server tasks generated from that given vCloud Director task.
As you can see from these two enhancements, you will be able to quickly and easily view all tasks that have taken place between vCloud Director and vCenter Server, all from a single location. If you need to drill down further into the vSphere layer, it is simply a right click and you will be taken directly to the vSphere object in the vSphere Web Client without having to provide additional credentials.