No, it doesn't happen in a recognized forum and for a reason. It is a monumentally bad idea to regularly publish author disputes, which would happen inevitably. There are many (many) questions here from writers with disputes over authorship. Allowing them to continue in public post-publication will do no one any good. 

The appropriate way to do this is in a "Contributions" section of the paper itself. All authors need to sign off on that. Some fields have traditions about author order, somehow expressing level of contribution, even if poorly. Other fields assume equal contribution, even if not the same _kind_ of contribution in all papers unless otherwise stated in the paper itself. 

But any authorship disputes or negotiations should end with the publication of the paper, IMO. Focus on the next intellectual contribution. Work with people you trust. Collaborate.