Sadly not - I'm pretty sure that car's a tuned regular XK (the mesh is much tighter than on the XKR, and it's missing a lot of the R's distinguishing features), and as I've never seen those wheels before I'm going to say they're aftermarket.
The wheels like a little bit similar, but I don't think it's an Arden. I'm attaching a pic of the 2006 Arden XK...