| The issue is most likely while your agreement says this, you may still be able to file for support anyway, since often the agreements will not hold up in court. Next the state will still hold the other parent liable for repayment of money if the parent with custody or the child recieves any state aid.
But in general, first the one parent can not even sign over his rights, unless the other parent does not agree, and even if both agree, it has to go before a judge who also has to allow it, and in most cases the judge will not for the welfare of the child.
But in general first most likely you can not sign over your rights, and the other party can still ask for support | 
Linear Mode
