A passenger from the car was taken to hospital to be checked for minor injuries.
The coast path is closed through the holiday park in Branscombe, Devon.
Father-of-two Tom Johnson went missing after he entered the sea, an inquest hears.
Storm Chandra hit Devon and Cornwall on Tuesday and affected many businesses.
It follows the disppearance of two swimmers at Budleigh Salterton in a festive swim.
About 100 people protest against plans for homes close to protected areas of heathland.
Local sea swimmers say there has been hesitation about heading back into the water.
Matthew Upham and another man went missing in the sea in Devon on Christmas Day.
The family of Matthew Upham have named him as one of the swimmers who went missing on Christmas Day.
