No, because after the Declaration of Independence, the natural born subjects of the colonies became the natural born citizens of the independent states of the United States of America. The laws of all the colonies and our legal system were and are rooted in English Common Law which became our common law.
The Colonists by and large were actually not “natural born subjects” of the British crown.
Rather, most all of them having been born in North America and thus “beyond the realm” of England and Scotland, the Colonists were, in point of fact as well as in law, only “considered as” natural born subjects. In other words, the Colonists of British North America always were, and were moreover bound always to remain, the equivalent of naturalized citizens from the perspective of their British cousins (most all of whom were, of course, full-fledged natural born subjects of the crown, in that they were natives or “naturels” who enjoyed all the additional rights and advantages, but also bore all the additional responsiblities, that went along with being who they were, rather than merely being “considered as” natural born subjects).