Yes, water can be frozen in an unplugged freezer, provided the freezer is still capable of maintaining sufficiently low temperatures. Freezers are insulated to keep the cold air inside, and if the freezer is well-sealed and has not been opened frequently, it can retain the cold temperatures for a certain period of time even when unplugged.
The freezing process in an unplugged freezer will depend on various factors, such as the initial temperature of the freezer, the ambient temperature in the surrounding environment, and the insulation quality of the freezer. If the freezer has been unplugged for an extended period or if the ambient temperature is too high, the freezer may not be able to maintain freezing temperatures for long, and the water may not freeze completely or may take longer to freeze.
It's important to note that running a freezer without being plugged in is not recommended for prolonged periods, as it can lead to food spoilage and potential damage to the freezer components. If you need to freeze water or any other items, it's best to use a properly functioning and plugged-in freezer for optimal results.