From the looks of the picture of the backside with the hologram,
You can make out the square recess where the key should be.
It looks "depressed" thus making me think there is no private key underneath

I would also recommend swapping out the coin in to a new capsule. I would fear that since it's already broken, it would be very easy to chip off more and those pieces could scratch the coin or scratch/tear the hologram.  Just my 2 satoshis.