No, don't do that. It will move your face away from the plane of the sights and it will cause you to push your face into the stock harder, exactly what you don't want to do. This problem is pretty common with T/C's, some people it doesn't bother, some it does. The problem is the "generous" amount of wood that T/C used in their design, comb too high, cheekpiece too thick.
The fix? A rasp, sandpaper and time. Cut down the height of the comb, maintaining an angled straight line from the heel to the wrist. When you're finished, that step at the wrist should be almost, or fully, gone. Now when the gun recoils, it slides out from under your cheekbone, not into it. You may also need to remove wood from the cheek area of the stock. Of course, if you endeavor to do this, you'll need to remove all the hardware from the stock and totally refinish it. With the exception of the White Mountain Carbine that I used to have, I've had to do this with every T/C Rifle I've ever owned. It's easy enough to do, just takes time.