Section 4.10 out of OPNAVINST 1420.1B is called "Reconsiderations," and it says that you can ask for reconsideration of your application if you are within 6 months of the original non-selection. From section 4.10:
10. Reconsiderations a. Applicants that are non-selected are able to ask for reconsideration of their application if they are within 6 months of the original non-selection. The following information must be provided to COMNAVCRUITCOM: (1) Applicant’s statement requesting reconsideration and an overview of additional information provided in the reconsideration package. (2) Any additional information for the board to consider (i.e., evaluations, PRT scores, officer interviews, etc.) (3) CO’s endorsement on the reconsideration package. (4) Applicants or command career counselors should submit reconsideration packages via one method outlined in paragraph 6 of this chapter. b. A new application must be completed if the original nonselection occurred over 6 months previously. 11. Inquiries. Information and questions concerning OCS and ODS programs should be addressed to: NAVY RECRUITING COMMAND (N31) NSA MID SOUTH BLDG 784 5722 INTEGRITY DRIVE MILLINGTON TN 38054-5057 901-874-9028/DSN 882
ocsquestions@navy.mil
To me that sounds like it may be possible, but this isn't necessarily my area of expertise. I think "my recruiter submitted the wrong paperwork" is a pretty valid reason to include "additional information for the board to consider."
