Yes, but don’t.
The power cord’s ground is not for noise, it is for safety. It is designed to keep the metal chassis of a device at ground. If there is an internal short to the chassis, instead of you dying from electrocution, the ground forced the fuse to blow. Clearly, this doesn't matter for wooden chassis components. :) So unless you have a safety issue you are concerned about, leave it alone.
Any more grounding of the turntable and you invite a ground loop.
The power cord’s ground is not for noise, it is for safety. It is designed to keep the metal chassis of a device at ground. If there is an internal short to the chassis, instead of you dying from electrocution, the ground forced the fuse to blow. Clearly, this doesn't matter for wooden chassis components. :) So unless you have a safety issue you are concerned about, leave it alone.
Any more grounding of the turntable and you invite a ground loop.