Ah...so you believe they were discussing “Piracies and Felonies committed on the high Seas, and Offences” commited against a book called the Law of Nations...
Almost as unbelievable as the claim that a phrase printed in a 1797 translation was the inspiration for a document written in 1787.
You shout “Vattel” like a teen-aged girl at a rock concert.
No, but the authority on the Law of Nations was de Vattel who the Founding Father read, and obviously, his book on the subject made an impression on them.