neighbor killed my cousins dog

Location: Michigan

So over the weekend, my cousin’s dog got out of her backyard.
When she went to look for him, she came out to her neighbor saying, “I stabbed your f__ing dog.” No one knows what exactly went down and ring cameras didn’t have good footage. No bites were reported on either him or his dog. This man slit my cousins dogs throat over this. Basically, I’m just curious if there is anything that she could legally pursue because I know her dog was off leash but if no bites were reported, can something be done?