Signing over rights?

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Can a father sign the rights over to a child and not have to pay child support in the state of Indiana? Does the mother have the option to say no? The man isnt even listed as the father on the birth certificate and she has another boyfriend that she has the child call daddy. The situation isnt very good, and honestly the best thing is to break ties all together, the father of the kid wanst to terminate rights and break away completely, is this possible?