No, destiny is not determined by a simple zodiac sign! Fortune telling based on birth dates is a relatively complicated process.
If you follow what I said above, it should be forbidden to have children in the year of the rat, the year of the pig, the year of the slave, and the year of the dog, so that every Chinese can give birth to a "dragon" or a "tiger"!
And the person upstairs should first inquire about the zodiac sign of the owner...