Not really - the state/district gives a voucher that can be used to pay tuition at any non-religious private school in the country. But private religious schools do not typically act like a public school except for the time devoted to religion class - even prayer at the beginning of the day is a difference. I’ve heard that some religious schools do not require students not of their religion to take religion classes or attend religious services during the school day* - but I have never heard of a religious school that breaks down tuition into “secular subjects $X” and “religion $Y”. I mean it’s possible that some might start doing so depending on how the SC decision comes out, but they don’t typically do so now. And to be honest, in some cases it might turn out to be “religion $0” - how much does a religion class cost when the teacher is a member of the religious order running the school who doesn’t receive a salary and is a science teacher except for the one class of religion per day?
*although I’ve never known of one myself