I don't think so, their kids are not robots that can be programmed, they will still choose based on if/when they think they're able to provide for kids.
It'd take regression back to a society where women are considered to have no value outside of being child factories, for parents to be able to indoctrinate their kids into reproducing with no concern for how good of a life they can actually give those kids.
On a less extreme note I do think parents can instill less individualistic/materialistic/extractive ideals in their children; I think these things - more the socio than the economic - are the main drivers of lower birth rates as evidenced by the fact that even rich people aren’t having kids.
It'd take regression back to a society where women are considered to have no value outside of being child factories, for parents to be able to indoctrinate their kids into reproducing with no concern for how good of a life they can actually give those kids.