In my home state, the answer is 'no'. This means the parent withdrawing all of their parental rights are considered even less than a noncustodial parent. They are considered now an absentee or abandoned parent. Perhaps that is not the legal terms here but the jist of it is that they are no longer responsible in any way shape or form and willfully give up all rights to that child. They cannot seek custody in the future (unless they claim they signed under duress). If your state does allow the child support, the other stipulations may involve no contact via any other method than specified such as u.s mail. Best advice, consult an attorney. They know the law best, and some people might think im full of beans. good luck