Yes. Many classic car enthusiasts use self-storage containers as a home-from-home.
Containers make excellent workshops. They easily accommodate both the vehicle and all the tools, parts and other equipment.
There are some activities you’re not allowed to do for health and safety reasons, such as spray painting, so be sure to check. The car needs to be empty of petrol since flammable liquids can’t be stored.
There’s a full list of activities that aren’t allowed here, and items that aren’t allowed to be stored in containers here. This usually due to health and safety reasons.