No.
To go back to your original question on the HAZMAT endorsement, if the drivers don't have the HAZMAT endorsement on their commercial driver's licence, the companies prevent them from hauling hazardous materials; therefore, they cannot even be on a vehicle that has been used for hazardous materials or dangerous goods.
As long as a driver is just transporting into other states, that HAZMAT endorsement from the state that issues their driver's licence is good. However, if they change residences from one state to the other, then they have to go through a process of transferring that hazardous materials endorsement, and the state they've moved to could have an entirely different set of regulations. They might have to go through the security threat assessment once again, even though they've previously done it in their home state.