Washington used to require a VIN inspection by the State Patrol for all cars brought in from another state, but that went away several budget cuts ago. I had to have 2 of my Chargers inspected when I moved here back in 1988, and they had to verify the VIN in 2 locations. 1 of my cars was missing the tag from the door jamb, so I had to make an appointment to bring it back when they had time to put it in their shop and locate the VIN in another location (which they apparently didn't want me to see, since they wouldn't let me go with the car to the shop.)
For the car with the missing VIN tag, out here the State Patrol would want to inspect the car and verify the VIN (and that it's not stolen.) Then they would put a tag in the location of your old VIN tag that lets officers know that the VIN has been relocated or replaced with a new number issued by the State Patrol. I've seen about a half dozen of them over the years.