Well in theory they can, obviously.
Whether they will bother to put it in their records is another matter. If you cancel your visa appointment and say you are not going I really don't think they would bother. But that's an opinion, not a fact.
DD is not a crime involving moral turpitude in the US so you would not actually be lying on the visa waiver form anyway.
I did find an on-line document (US government report) about someone with a DUI conviction travelling on a stolen passport who ticked 'yes' on the form, admitted it was for DUI and still got in - despite the passport being in their list of stolen passports as well. ( wouldn't recommend this BTW.....) It was quite revealing on how US immigration works, or doesn't, but no real help to those with minor records.