No. An adopted child has all the same legal rights (and the adoptive parent has all the same responsibilities) as if that child was born to that parent. The birth certificate is changed and in most places the record is sealed so that there is no access to the fact of the adoption.
Please note that I do not practice in your state, and that the above is not intended as legal advice, is for educational purposes only. You should discuss the details of this situation with a local family law attorney to obtain legal advice relative to the law of your state.
