At the moment, no. The rejection letter is written to the authors, and I think that most authors would be mortified if their rejection letters were made available. At that point the authors can attempt to send it to another journal. There is nothing stopping the authors of this paper from publishing the peer-reviewed comments and feedback they will have received from attempting to publish it.

I don't know what PlosOne's policy on publishing something like this would be. They don't reject based on relevance or impact alone, but I suspect that they would not want anything that looked fraudulent in their journal nonetheless.