Yes. From the FAA's Flight Standards Information Management System:
N. Written Notification. When verification is received from a foreign CAA, the applicant will receive written notification that a copy of the verification of authenticity of the foreign pilot license has been forwarded to the designated FSDO in the applicant’s request. The verification of authenticity of the foreign pilot license is valid for 6 calendar‑months. Applicants may make application for their U.S. pilot certificate at the designated FSDO during that period.
O. Request to Change Designated FSDO. A request to change the designated FSDO may be made by letter to the FAA Airmen Certification Branch, AFS‑760, P.O. Box 25082, Oklahoma City, OK 73125‑0082 or fax to 405‑954‑9922.