Yes, but it shares that property with a Zeppelin, therefore it is not a defining quality of a Blimp.
Zeppelins can't really deflate because there is not pressure difference between the inside and outside of the zeppelin. If there were to be a tear in the fabric, gases would simple start mixing and the buoyancy of the aircraft would start to decrease. I suspect this would cause a rapid decent (but I'm not sure if it would be lethal)