Yeah, I think so. Quantum computers have a complex somewhat analogue computation mechanism but I can imagine ways to do it to get a 12 value "bit"

As it is, transistors work via a three part mechanism made of three diodes. Diodes are basically like those valves with balls in them that in one direction they don't obstruct flow of liquid, but in the other they block. Or a simple Reed valve (yes, diodes are valves) where you have a flap that closes when fluid pushes it one direction, and opens in the other.

Transistors only do two states, but I think you can even stack them so they have 3, and then as I say, two normal transistors and a trinary, and you have a circuit that can represent 12 values.

I do think that base 12 is the best. I believe our universe is entirely based on 12s. The Babylonians had a base 60 system which is based on 2, 2, 2, 3, 5

A lot of math is more precisely calculated compared to the 2 and 5 of decimal.