Herod Archelaus (23 BC – c. 18 AD) was the ethnarch of Samaria, Judea, and Idumea (biblical Edom) from 4 BC to 6 AD.
No, he was born under the reign of Herod the great, Who did NOT die in 4 B.C. but rather in January of 1 B.C. Too many people have fallen under the error because of a supposed Lunar eclipse that was after all nothing but a partial eclipse.
They ignored Historians who put Herod alive and well in 3 B.C when the Empire wide enrollment of loyalty to Augustus Caesar took place.