No, because if you made a good faith claim that thesun.co.uk exists primarily to infringe copyrights, the judge would lock YOU up for perjury. What you can do, right now, is sue them for copyright infringement. That's already illegal, of course.
Does SOPA actually require that you state that claim under penalty of perjury? I didn't think it did, but I might be wrong or I might not have seen the latest version or whatever.
I've also never heard of a case where the analogous DMCA perjury provision was actually enforced, so I wonder sometimes.
