Yes. As the power runs down, eventually the balance amplitude reduces to almost nothing, but its neutral position with no power is with the roller jewel in the middle of the pallet fork horns, with the pallet fork centred. In this position, the pallet jewel angled face rests against the face of a tooth on the escape wheel, and a little torque on the escape wheel will push the pallet fork away setting the watch in motion.
When the roller jewel is disengaged from the pallet horns, the pallet lever mechanism is essentially bistable and should flick to one side or the other where the pallet jewels just lock the lever in place. For this reason, it is important to set the hairsping on the balance wheel so that in its neutral position it would hold the roller jewel in the centre of the horns as described above, otherwise (amongst other problems), it will be necessary to shake the watch to move the balance and set it in motion.
in practice the neutral position is best tested with the watch in motion. A timing machine can listen to the noises the escapement makes and reports any misalignment as a "beat" error. This is resolved by rotating the hairsping attachment (collet) to the balance or to the balance cock, depending on the watch.