Not that I know of no. As late as the 80's; nobody ever said anything to me about listing my kid on my passport.
I know that is done now--my sister had her kids on hers. But in the earlier period, I never heard of it. I traveled all over the world and saw lots of babies and little kids.
I travelled on my mother’s passport as a child in the 1960s, but she had to have me added to her passport at the Passport Office.