DCAS is New York City’s personnel department. DCAS has delegated the task of investigating applicants to the NYPD. You can appeal your NYPD disqualification. Applicants who are disqualified from appointment may challenge an agency’s findings on the grounds that such findings were made in bad faith or were arbitrary and capricious.
There are three potential

If you received a Notice of Proposed Disqualification (NOPD), you can appeal. If you receive a
Candidates who fail to provide requested documentation during the NYPD application process will have their file marked discontinued. Understand, there is no appeal from a discontinued status.
The following video explains the 
We are here to assist you if you receive a