Probably it is. There is one chance in 365 (or 366 if Jesus was born, as some suppose, in a leap year) that the date is correct. But because we do not know the date, must we ignore Christ’s birth? We don’t know for sure in what year Jesus came. Yet we mark our calendars according to anno domini (AD). We do know for sure that Jesus was not born in the year one of the Christian era, for Herod the Great died in what we call 4 BC! Shall we junk our calendars and stop keeping track of dates just because the year marked AD is incorrect?
Jesus’ birth probably did not take place in December. But those who insist it could not have taken place in December go too far. They argue that shepherds could not have been in their fields as it was the height of the rainy season. However, weather is a variable quantity and the Palestinian climate is quite mild. The particular December—if it was December—could have been a warm, rather dry, month. But what if Jesus was born instead in January, March, April or October, as has been suggested? Would that make God object to the observance on December 25?
Secular events are sometimes observed on dates different from their occurrences. England’s late King George VI annually proclaimed a date in June for the celebration of his birthday, but he was born on December 14th. His people did not rebel, because they celebrated his birth and not just its date!
Ref# Raymond L. Cox, Answers In Action