Hi Mike,
No. Torque is very much proportional to current. It usually only takes a small voltage to overcome the motor resistance to make the current flow and generate torque. If you know the motor resistance you can calculate this. For example to get 10 Amps of current to flow through 0.5 ohms only takes 5V. The majority of the voltage is used to overcome the bemf of the motor. So for example at 1000RPM the motor acts like a generator and might be generating 50V. If 50V is applied to the motor no current will flow and there will be no torque. 55V would be required to make 10Amps flow and generate the same torque that 5V would at a standstill condition.
HTH
TK