Here is a similar question on a like application I am filling out, and the answer is no. Of note, it is the same organization, different directorate:
Conviction of a misdemeanor crime of domestic violence is disqualifying. A misdemeanor crime of domestic violence is any offense involving the use of physical force, or the threatened use of a deadly weapon, committed by a current or former domestic partner, parent, or guardian of the victim. Have you ever been convicted of a misdemeanor crime of domestic violence?
A. Yes
B. No