Not according to any U.S. legal body, or the Constitution, which doesn't include such a stipulation.
You thought wrong. There's nothing in U.S. law that says that.
The simple truth is that the most important safeguard of our national security the President of the United States is only eligible to that office if the Constitutional requirement of a natural born citizen is met. But in our entire history of a nation, this issue has never been judicially determined.
SCOTUS in Minor and Wong Kim Ark both decided years after the adoption of the 14th Amendment tell us the definition of natural born citizen is not written into the Constitution. Any attempt to simplify the issue by stating that all 14th Amendment native born citizens are also POTUS eligible on that basis is a fraudulent statement.
The issue is in serious need of litigation. Its in the best interest of the nation to have the issue settled. If Obamas eligibility is not heard on the merits in our judicial system, then the answer to who is a natural born citizen will be settled by virtue of Obama being President.