Absolutely it is. It is, I think, implied in the notion of God. That thought is clearly expressed in the Creed ("the Lord, the giver of life").
In the scripture we sometime see an expression "children of God" with the implication of eventual sainthood (Galatians 3:26, for example), so not everyone is a child of God in that sense, since not everyone will be saved. But you yourself indicated that you speak of literal sonship by way of creation.
The Catholic Church does not teach that some people are predestined for damnation. Rather, when people reach age of reason (typically, 7-10 years of age), they exercise free will that may lead them to salvation through the Cross or indeed damnation. God foreknows that but He allows the free choice to be made by the souls He creates.
Very good explanation. ;-)