No, or not necessarily.
Reactive (AC) power can be cycled in and out of the inverters, pushing current through the motor without necessarily spinning it, and only incurring resistive and switching losses, without delivering mechanical power.
The most fundamental case of this is your butt. Your butt, when sitting, delivers a force into the chair (and vice versa), but no work is being done, because there is no motion induced by that force. The act of sitting down, or standing up, transfers energy from that system -- reactive power -- but that [reactive power] is separate from the average work (real power) done in the system (which in this case, is a small amount of heat loss due to your butt squishing into the cushion).
An AC motor delivering torque at zero RPM, is also a case of this.
One could argue still further, and perhaps less usefully -- that the time scale of this reactive power should be even longer. See, the motor can deliver torque into nonzero RPM, and therefore real power; but if we get that power right back during regenerative braking, it's not really
real power, is it? It's just power we've taken out of the battery pack, then put back in. Just like reactive power delivered at the motor's stator frequency*, or like reactive power delivered at the inverter's switching frequency (mainly in the PWM filter choke, which may be the winding inductance).
*Which, speaking of, these are synchronous motors, aren't they? For these, the stator frequency equals the rotor frequency, and therefore no AC power is delivered at zero RPM, and no reactive power either. This analysis really isn't all that useful then -- it's not invalid per se, but it's not useful if the reactive power happens to be zero anyway. It does however apply to induction motors, where a low frequency is applied to the stator to deliver torque at zero RPM.
Regardless, the key insights are:
- Torque is a rotating force; a force can exist without motion and therefore without [real] power. The force still stores some energy, which is released when the force is removed. This can be considered a reactance.
- Reactive power is not average [real, DC] power, so we can't necessarily expect the average DC current draw to reflect it. We can expect some AC ripple to reflect it, but this may be filtered at the inverter -- reactive power can be cycled between different reactive elements, namely capacitors and inductors in an electronic filter -- so we cannot necessarily get the full picture just by measuring current at the battery pack, even if we have a higher bandwidth current probe than a clampmeter.
Another gotcha is, even if we know flux (say because we know the driven frequency if any, and the inverter output voltage), we don't know the turns ratio without taking apart the motor, and therefore we don't know the -- in essence, electrical gearing, of the system.
But if we know all those things -- as the power train designers do -- we very well can, and do, make use of that, that current and torque are related.

Tim