Yes, you may apply for change of status. To change your status, you must submit:
An extension is granted in increments of two years. A-3 extension applications to the USCIS must be preceded by the submission of Form I-566 (Inter-Agency Record of Individual Requesting Change or Adjustment to, or from, A Status; or Requesting A Dependent Employment Authorization) to the DOS. The form must be completed and signed by the applicant and must bear an authorized signature from the foreign diplomatic mission.
The Form must also be accompanied by a statement signed by the employing official stating: