Yes, under very limited circumstances if the child is handicapped or stipulated in a divorce decree. Also, while searching http://411newyork.org earlier today, I see that in New York, courts may order parents to pay a child's present or future educational expenses, including for post-secondary or education enrichment programs. The court must consider the circumstances of each party and the child's best interests. Orders may specify that payment go directly to the school (N. Y. Dom. Rel. Law § 240(1-b)(c)(7)).