You can achieve something a bit like this using org-protocol-capture-html https://github.com/alphapapa/org-protocol-capture-html. I'm not entirely sure whether you can bind the equivalent of a hook in javascript to run every time you C-c, but if you can, then it should be possible to match this exactly. You might also be able to wire up org-protocol to the X clipboard (if you are on linux).
Best, Tom