can the state of arkansas file a child support complaint without either parent knowing about it.

The Office of Child Support Enforcement Unit (OCSEU) normally only opens a child support case  if one of the parents (custodial parent) has enrolled the minor child in a program, namely AR Kids 1st health insurance, income based, provided by the State of Arkansas. When a parent enrolls a minor in this program, they sign a form wherein they assign the right to collect child support to the OCSEU who then initiates a claim. Oftentimes the parent signing the form assigning the rights to collect does not really read that paperwork and is not aware of the process they have begun. If you have been served with a Summons and Complaint/Petition, you need to read the Summons carefully and note the deadline you have to file an answer or otherwise respond to same or a default judgment may be taken against you.