Do living things violate the second law of thermodynamic? As a chicken grows from an egg, for example, it become more and more ordered and organized. Increasing entropy, however, calls for disorder and decay. Is the entropy of a chicken actually decreasing as it grows?

No, living things do not violate the second law of thermodynamics, because in reality the entropy of the system increases.
No, the entropy of the chicken is not actually decreasing as it grows.
The disorder of an isolated system never decreases. Entropy is often associated with disorder and the second law of thermodynamics is sometimes cast as a statement that the disorder of a closed system always increases. Energy is a conserved quantity, while entropy is a quantity that can and generally does increase. As a chicken grows from an egg, it becomes more and more ordered and organized. But, the chicken will decay with time. Thus the system will more disorder than ordered. Since the entropy measures the degree of random ness or disorder, therefore the entropy of the chicken will increase