Suppose I want to test the constitutionality of copyright. (It's obviously constitutional; I'm just using it as an example because it makes explaining my question easy and the exact law I'm testing isn't really relevant.) I register two LLCs, A and B. I take a picture and assign the copyright to A. I then create a Web site for B, and publish the picture on B's Web site. Even though I own both, A never gave B permission to use the picture. Can I hire lawyers for both companies and have A sue B for copyright infringement?
Note: I'm intentionally not tagging this as copyright. The question is not about copyright; copyright is just an example. You could replace "B violates A's copyright" with any other scenario where a law gives one legal person a right to sue another legal person.