Not necessarily since it depends on the day, month, and time of your birth each has a significance of what animal, and if you get year, month, day and time all in the same animal, it would be consider to be very lucky. Like for me i had the year, month and day of a snake but my time was a horse which alters it. Also, because each year the chinese/asian new year resides in different days, so if i was born on feb. 1 i would still be a dragon, because it was before the new year day which is the snake *lunar calender* Since the lunar calender switches days every year because of the moon. Also, at times the western zodiac can also play a roll in how you are,etc.

Hopefully that helps :D