Yes, when I had L. formosanum and the closely related L. philippinense strains that survived my cold winters here in the north, if I dug the bulbs in the fall, some of them would show this trait. They didn't shut down for the winter like most lilies, and would begin sending up a shoot on their own schedule, not waiting to go through winter.
This is L. philippenense (left) and L. formosanum (right), dug in fall (21 October in the northern hemisphere)
The left bulb shows the normal seasonal stem and a small underground shoot. This small shoot is never visible on regular lily bulbs at this time of year, because they are waiting to come up next season. But this bulb shoot is not waiting. Similarly, the right bulb has the normal season stem
and another smaller stem that emerged in the late summer rather than spring. If my warm season was long enough, I would have had flowers from that in the fall.