Based on my experience with the "pro" model being sold in this drop, no, there's no way to mount it to the granite base. This comes with a c-clamp to mount it to a workbench, table, etc.
The clamp on the gen 3 does have the ability to mar the finish of a knife... that's not a guarantee. I am attaching a photo of my CRKT Wrinkle that I've sharpened on my Gen 3 several times. (I think 7... possibly 8). I've never used painters tape on the spine like I have with my wife's kitchen knives... I don't know if they would be marred... and to keep her happy I use one layer of painters tape and I've never had a single scratch from the clamp. This knife has some blemishes on the surface near the cutting edge but that's also ok with me because I've had it 4 years and had it on me/used it every day.
There's a bigger difference between the two clamps worth thinking about... the max blade thickness that can be clamped is only 3/16 on the gen 3.... you can change the jaws for the it but thats an upgrade you need to buy... once it's locked in, it's not like you have to change the mount.... so if you are at all concerned... go gen 2.