Not an expert but I believe the answer is no. Two different guitars, the Luke II BFR has the EMG and a smaller body as the BFR HH has the transition pups and a larger body. I think the neck profiles are the same or very close.
My Luke II is a BFR Koa so that would be different from the maple topped ones as well. Hope this helps.
The new Luke III has some pretty significant changes, including a more stable roasted neck. The pickups went from EMG active pickups to Dimarzio passive pickups with an active preamp and a 15db boost. The active preamp in the newer Luke is also used to balance the volume between the single coil pickups and the humbucker giving the guitar a more balanced tone. The body of the guitar was increased in size a small amount. If you have any questions shoot me an email at [email protected]