The HHR mold doesn't have much of a recessed area to speak of so you may not be able to apply even unlaminated labels without spinners; laminated labels would be right out as far as direct label-overs are concerned.
BUT...
Those inlays can be relatively easily popped out using a hobby knife or other sharp, pointed instrument. Once the stock inlays have been popped out, a laminated label will easily fit in the recessed area that's left behind.