Yes also of you swap most the major components from one car to the other, including the vin plate, you get issued a NEW vin. You must show them both vin plated, attached and unaltered, and they issue you a new vin and a rebuilt title. Then your title looks crazy as they list all 3 vins on one.
Been there done that on trucks. Swapping good cabs on to good drive train frames.
Note if they catch you with an illegally altered vin, not only is it a felony, the car gets crushed. This is the federal government, they don't codswallop around.
Do you not remember them collecting all the illegally imported GTRs and crushing them?