Lodgee no, but it would be possible if an extension existed for this. AFAIK, there is currently no extension that has this functionality, but if you do find one, feel free to request it at our GitHub
orschiro no, and I doubt that such extension will ever exist. To my knowledge, Google OAuth requires you to provide a list of domains and endpoints, so an unique key can be generated for you.
Our idea in the past was to have one predefined key to be used by all forums, but IMO that would not work. And using OAuth without client ID/secret is impossible, which is unfortunately a limitation from Google's side.