Yes, but you certainly could not fly for 30 minutes since to do so, you would need power and if you use power, you will spin with no way of stopping it. Apart from a catastrophic failure, this is probably the hardest thing to get right. A tail rotor failure on approach or in a high hover or with speed close to the ground is probably not going to end well.
The correct recovery is to enter auto rotation.
Since this removes the torque from the rotor, the fuselage will not spin apart from that caused by drag in the transmission system which can be countered by keeping speed up and using a little opposite cyclic. The tail boom and vertical stabiliser will tend to keep the aircraft straight whilst there is significant forward speed. Any tendency to spin is opposed by the air flow striking the tail boom and fin on the side opposite to the spin and correcting it.
The problem comes from the landing since you cannot balance torque as you raise collective and increase lift (and therefore drag which increases torque) to arrest the descent.
The solution is to tweak the throttle to control torque. However, a high speed run on landing is inevitable. Hope for a strong wind that you can land into since this will reduce the touch down speed and help to keep the approach and touchdown straight.
In a hover, roll off the throttle and keep it there then perform a hovering autorotation.
In both cases, keeping the throttle rolled off is the key. If you bring significant power from the engine back into the rotor system, you will spin uncontrollably. Small amounts of throttle, rolled rapidly on and off can be used to control torque as can use of collective during the descent of an autorotation.
I hope this one never happens to me. Engine failure doesn't particularly worry me, nor do "stuck pedals" but a tail rotor failure would not put a smile on my face.