Yes, car cameras that record when the car is off are available. These 'dash cams' typically have a G-sensor (gravity sensor) built in so they can detect sudden changes in direction or acceleration and automatically start recording even when the engine is off. This feature ensures that any unexpected events, such as an accident or theft attempt, will be recorded even if you forget to turn the camera on manually before leaving your vehicle. Additionally, many dash cams come with motion detection technology which allows them to start recording whenever movement is detected around the area where it's mounted - again without requiring manual activation from you each time you leave your car.