No of course not, because as I said: there is a moral imperative for parents to care for their children as dependents; our law imposes this duty at present as it has since antiquity. The family is the basis of all human civilization; childrens' rights are proscribed because they lack judgmental and cognitive capacity, and their parents' duty to care for them serves in place until they reach the age of majority. But what truly binds a family together is love, a bond far stronger than duty, but nonetheless a product of the human mind, and not mere animal instinct.
Put another way, there is a moral imperative to be the means to their ends. It's such a fundamental contradiction of Rand's central thesis that we pretty much have to discount her claims more generally.