No, not when your arrested for criminal mischief. No different then being evited by the landlord and then running the water to destroy the house with water damage. There are statutes in every state that address situations like that pertaining to landlords who own the property and tenants who are in disagreement with being told they have to leave.
When you wilfully damage property and are subsequesntly arrested for such you will be required to pay restitution in court and that is NOT something anyone can claim as a debt in any bankruptcy proceeding.
Foreclosure proceedings were obviously underway, otherwise he would have not stated how the bank refused an offer so he could get out of his debt. Items from the house can surely be removed but the structure itself cannot be destroyed.
If he had destroyed his property prior to the bank starting a foreclosure proceeding then that would be a slightly different story. But that would still not relieve him from a civil suit that the bank will surely pursue if the police do not arrest him which I find highly unlikely.
Civil suits that have been won are not eligible as a bankruptcy attachment.