Will a mini fridge ice cube box keep cream frozen?

No, a mini fridge ice box cannot keep cream frozen. Mini fridges are designed to keep items cool, but not to freeze them. The temperature inside a mini fridge is usually around 35-45 degrees Fahrenheit, which is too warm to freeze cream. In order to freeze cream, you will need to put it in a freezer, which is typically set at around 0 degrees Fahrenheit.