Using Takeout, you can download your Google Plus profile information to a json file. Is it possible to use this file to upload the information to a new Google Plus account?
No, it is not possible. Takeout links with your Google+ account, but Google+ does not has any connection with Takeout.
Google+ does has an API, but there is absolutely no way any API would ever allow an app to alter it's user personal details.
Also, a single person creating and using multiple accounts, or someone creating an account with the exact details of an another account is something no company had ever wanted.