No, it's no I'm afraid
Current is flow of electrons (as I'm sure you know) but torque is a force, a twisting force to be precise.
The SI unit for torque is Nm (newton meter). It is the amount of rotating force you get when you apply 1N to a 1m long rod.
1N in turn is the same as 1 kg*m/s².
That is to say it is the force required to accelerate 1kg at a rate of 1m/s.
All very interesting I'm sure
Your post just shook something loose:
Voltage is also called EMF.
EMF is Electromotive Force, so it is the force that moves the electrons!
Anyway, I agree, can't see torque being analogous to current!