No he was not. He was born of two citizen parents, while his father was "in the armies of the nation", See section 217, book I, of "Law of Nations". It doesn't matter if he was born in the Canal Zone, which he apparently was, or in Colon as fake BCs and registers posted on the 'net show. He was born where he was born because his father was serving the nation, and was not considered to have left its jurisdiction.
It is an appealing sentiment, but not law. The McCaskill bill couldn't have modified the Constitution, but might have become and amendment if support seemed particularly strong. Her bill differed from the 1790 Act in not including the children of diplomats. Natural born citizenship was to protect the republic.
One could imagine a scenario of a child born overseas, spending many of his formative years in another society. Allegiance might not be so clear after after five or ten years stationed in Turkey or Indonesia. There is no right to the presidency. The framers intended to discriminate. A fragile nation based upon allegiance and ideas was being built.