Do you mean an explicit right? Certainly, parents enjoy a God-given right to homeschool their children, and since the purpose of the Constitution is to "secure the blessings of liberty to ourselves and our posterity," parents must also necessarily enjoy a constitutional right to homeschool.
Yes. Sorry for the confusion. I was trying to say our right to homeschool is God-given and very much part of the "pursuit of happiness" we supposedly hold so dear in this country.