Absolutely, yes! But it is true and to be expected that some facts about this miraculous person were not accurately recalled or preserved. Luke relied on eye witness accounts many years after the events depicted.
In my belief based on the latest claim of revealed truth, The Urantia Book, Jesus was born in 7 BC under the reign of Herod the Great who tried to have him killed after learning of the birth of the expected "king of the Jews" from the 3 Magi who were in town in search of "the light of the world" having learned of the impending birth from a "seer" in Ur.
Caesar Augustus decreed that all the citizens of the empire were to be "numbered" in the month of March 8 BC. This caused considerable controversy among the Jews who opposed numbering, thus the census was delayed by 1 year in the Palestinian kingdom of Herod (The Great) who died in 4 BC. Herod Antipater known as "Antipas" was the Herod who ruled throughout the rest of Jesus' life and subsequent public ministry up until the tragic rejection and death.
In my belief Jesus was born August 21, 7 B.C in "the caravan stables, hewn out of the side of the rock and situated just below the inn, had been cleared of animals and cleaned up for the reception of lodgers."