Well, its possible, but I doubt it since its a flower . The flower probably still needs a tremendous amount of nutrients to open and make pollen so I don't think it will open either since that nutrients comes from the mother plant.
It's anatomically/physiologically impossible for this genus to do that :/. The meristem tissue in the center of the stem is the only tissue capable of producing roots, while the axillary meristem at the internodes is the only tissue capable of producing a new growth point, under NORMAL conditions, not including tissue culture, a very different beast, or cases where the plant's hormones are out of whack and you do get unusual growth in the flower stalk such as leaves or even shoots.
The growing flowers require too much attention (food and water), and so the flower stem will not last long enough to root. Plus once the pollen or seed finishes growing, the stalk appears to be programmed to die.
So you can put me down for two no's.
These are some really bad companies, all shells of Plantron Inc., so don't order from them unless you want small and dead plants they don't want to refund:
Farmer Seed and Nursery
Four Seasons Nursery
House of Wesley
Richard Owen Nursery
How do garbage companies like these stay in business, ripping people off year