Can a person who has primary custody of a child move the child away with out the other child's permission

Whether or not one parent can move far from the other parent with the child is usually determined by the custody order, if there is one, but as a rule, one parent cannot move far from the other without a very good reason. If you are concerned that the mom is about to take the daughter far from you without your permission, you can start a custody proceeding to sort this out. If she absolutely must move far from you, you need a detailed agreement regarding visitation (depending on the finances, she might be required to bring the child to see YOU). Ideally you can resolve this without court involvement, but if you're afraid she's going to disappear with your daughter, start a custody proceeding.