Probably not (and rightfully so) but there certainly are laws against child endangerment. The “diet” forced upon this child appears to have had significant adverse effects on his health.
How about parents who try to drive ‘demons’ out of their children, or refuse medical treatment for the kids because religious themes? Where does religious ‘liberty’ collide with child endangerment? Anti-vaccination? Should the position of society/government be that you can do/believe whatever you want, but you cannot visit it on your children?
Freedom uncoupled from responsibility seems to be where we are headed.