Yes. If your order was good (was "in effect") in Massachusetts when you left, the order will continue to be in effect until a court changes it. Give the Massachusetts Department of Revenue (DOR) your new contact information, so they keep sending your support payments to you.
If you fled Massachusetts because of abuse, and you do not want the other parent to know where you are, tell DOR that you need to keep your address secret. Ask DOR to make sure your address does not appear on any court forms.
Note
The other parent can ask the court to lower the payment if you move out of state. They ask with a Request to Modify the Support Order. The other parent must give you notice when they ask. You can oppose their request.
The court may lower the support, especially if the other parent must pay more money than before to stay in touch with your child. Only a judge can decide to lower the child support amount.