Is there even a snowballs chance???

It is my poor planning that we were not able to get an ADR. We only booked our trip 30 days out this time. Has anyone had any luck walking up (say right at restaurant opening)? We don't really care about the time we go... I just wondered if it is possible and if anyone has had first hand experience.

We did have luck at Cape May last trip. The dining number said no availability but we walked up to the podium and they told us 45 minutes and we got it.