Can my child's mother keep me from seeing my child if I don't pay child's support in there no agreement threw the court

If there is no agreement in court, she can stop you from seeing child if you pay support.

In fact, if there is no child support order in place, you need to be careful to keep reciepts of all money paid.

I have to wonder how people think we can give authoritative answers when they provide such little info. ANY question on law needs to include your general locale as laws vary by area.

Is there a child support order from a court in place? Are you the legal father? Is there a visitation order in place?

Generally the mother has control absent court orders.