Yes, they do. They will be filled with liquor, beer, soda, goodies, etc. and if you use anything you will be charged. Just ask your cabin steward to have everything removed if you want to put your own stuff in there.
GLORIA: There is a fridge in the mini-suites on all HAL ships.
Ed S: There is no charge to use the fridge once it has been emptied of the provided contents. You can empty it yourself & place the contents in a safe place (advise your steward you have done this) or you can ask your steward to do it for you. We have done this on our last 3 cruises 'cuz HAL only has Coke products (contractual agrmt) and, since we prefer Pepsi we bring some on with us & keep it in the fridge, along with our favorite bottled water.