In a crash, if the vehicle being struck remains essentially stationary then all of the kinetic energy is dissipated at the time of impact. In a situation where the stationary vehicle is pushed some distance, only part of the kinetic energy is dissipated into that vehicle until there is sufficient transfer of energy to accelerate it and cause it to move some distance. The remaining kinetic energy is dissipated by the striking vehicle as it comes to a stop where the struck vehicle used to be. So without getting too technical, the answer is yes, because whatever kinetic energy is dissipated, it will always be dissipated quickly.