Can you go to high school without a birth certificate?

No, you generally cannot go to high school without a birth certificate. High schools require proof of age and identity, and a birth certificate is the most common and accepted form of that proof. While there might be very rare exceptions depending on individual circumstances and state laws, it's highly unlikely you'll be able to enroll without one. You would need to contact the school district and explore alternative forms of identification, which would likely involve significant legal documentation.