Is it possible to partially fracture a destructible mesh?

I want to damage and break a destructible mesh but only a small region at a time like here https://www.youtube.com/watch?v=ifoqNHxPCVE

In my case applying even the slightest damage to a point on the destructible causes the whole destructible to crack. I want to break it off like a few chunks at a time while keeping the rest of the destructible intact and without visible cracks

You need to turn up the support depth.