How do I set up partial destruction of meshes?

Yeah It’s been years but I had this problem and I fixed it. When you fracture mesh select the chunk (or chunk with Ctrl) then on the chunk parameter tab you will see “Chunk Parameters” (4 of them). You check “Do Not Fracture” and other boxes you like to apply. Then (it’s important) on the “Destructible Settings” tab find “Support Depth” and enter the number of chunks you selected. That worked for me. After years, I don’t know who is going to need it but if someone does I hope this helps.

Note: I also find “Asset Defined Support” and “World Support” options to support with “support” tagged chunks and static meshes (“Destructible Settings” tab).