I’d rather not discuss the ins and outs at the moment, but the short answer is, I think there’s good reason to believe education could be provided without the state. And if someone has a “right to education,” this means that you have the right to enslave someone to educate your child.
The only rights, from a libertarian POV, that exist, are negative rights. The right not to be killed, to not be aggressed against, to not be stolen from, etc.
As Christians, we have OBLIGATIONS to provide for the less fortunate but this is different from someone having a RIGHT to food, healthcare, education, etc. this would necessarily imply enslavement of others to provide that right.