It is possible, but this is not a guaranteed process (e.g., you'll get the certificate or the certificate you're looking for). Birth certificates prior to 1912, are NOT available online and/or in the National Register Institute.
This process requires a thorough and rigorous process, where dates and locations have to be precise, as these documents will only be available in parishes or baptism registration within local churches.
For documents prior to 1912, the service is available only upon request.