Not where eligibility for the presidency within the meaning of the U.S. Constitution is concerned.
From the State Department's Foreign Affairs Manual:
7 FAM 1113 NOT INCLUDED IN THE MEANING OF “IN THE UNITED STATES”FYI - I am not a birther.c. Birth on U.S. Military Base Outside of the United States or Birth on U.S. Embassy or Consulate Premises Abroad:
(1) Despite widespread popular belief, U.S. military installations abroad and U.S. diplomatic facilities are not part of the United States within the meaning of the 14th Amendment. A child born on the premises of such a facility is not subject to U.S. jurisdiction and does not acquire U.S. citizenship by reason of birth.”
7 FAM 1131.6-2 Eligibility for Presidency
(TL:CON-68; 04-01-1998)
a. It has never been determined definitively by a court whether a person who acquired U.S. citizenship by birth abroad to U.S. citizens is a natural born citizen within the meaning of Article II of the Constitution and, therefore, eligible for the Presidency.
d. (snip) In any event, the fact that someone is a natural born citizen pursuant to a statute does not necessarily imply that he or she is such a citizen for Constitutional purposes.
I suggest you look, instead, at the US State Department application for a Passport. The instructions list the various ways that one may claim citizenship, and those requirements for Citizenship at Birth have changed over the years.
For instance, the laws concerning Birth by One US Parent will require residency in the US, for a certain period of time after reaching the age of majority.
All “Natural Born Citizen” means is that you became a Citizen at the moment of birth, based on the laws in effect at the time of your birth. NOTHING ELSE.