No it isn't. The name was set in statute by the National Security Act of 1947 (as amended in 1949); as with many if not most of Trump's regal decrees, changing it would require an act of Congress, not mere executive fiat. Don't obey in advance.
Do you live in a country where the rule of law has already been thoroughly destroyed and rule by fiat is the norm? I don't! It is still possible to turn things around here, and this means resisting any instances of fascist bullshit, big and small. The name has not been changed by edict just as the 14th amendment and a zillion other laws have similarly not been changed. Do not just accept and accommodate their assertions of arbitrary and unbounded power -- do not obey in advance (e.g. see the excerpt of some rather decent writing on this notion here https://timothysnyder.org/on-tyranny)