Yes, the center (neutral) is connected to ground somewhere, but is not a suitable ground reference - because current on the neutral creates a voltage drop along the neutral conductor. A North American outlet box has Hot (L1), maybe another Hot (L2), Neutral, and also an earth/ground conductor.
Neutral is not ever treated as ground; it’s impermissible to connect it to any bare metallic surface. Other than not being switched, and being the side that ends up on the threads of a light socket, it’s handled the same way as a hot/line conductor. Just like a 240V system.
It would dissipate static fine, if you were allowed to touch it.
FYI, banks do run exactly this type of analysis inside their own system to get around not being able to share your account activity.