Since he was born on a Caribbean island and not in the American colonies? And all the other early Presidents were born in them. But technically none were born in the US.
Yes. The constitution was written so that people who resided in the Colonies at the time of the ratification of the Constitution were eligible to be president.
Article II, Section 1, Clause 5: No Person except a natural born Citizen, or a Citizen of the United States, at the time of the Adoption of this Constitution, shall be eligible to the Office of President; neither shall any Person be eligible to that Office who shall not have attained to the Age of thirty five Years, and been fourteen Years a Resident within the United States.