Absolutely. A comment can be placed on his NCOER as long as it has been verified and is not simply an allegation. You cannot mention the punishment or the action taken but you can mention the behavior that led to the punishment.
The stolen valor act may apply to this situation as well. Check out AR 623-3 under unauthorized comments. As long as your comments do not violate the items in this section of AR 623-3 you should be good to go. If you have any concerns contact JAG or the IG for a second opinion.