You might be able to do that but I'd guess any flowering will be lacking unless you can provide more of the external growing conditions the plants prefer. Generally, to get very young plants/cuttings to bloom requires greenhouse conditions and the careful manipulation of various factors including temperature, light, plant hormones and fertilizers. Hard to duplicate that in an indoor home environment.

All you can do is try!! I am still skeptical you will ever get much in the way of flowers but you may very well get the plant to live on indefinitely. I'm just not sure how appealing it would be to continue to grow as a houseplant something that requires that much fussing to keep alive and that may never produce flowers, but it is certainly your choice.

And if you do, please keep us updated on your attempts :-)

Yes, I would experiment by providing humidity, some indirect sunlight and a cooler place in the winter time (50s or upper 40s would be fine). Mopheads grew well (> 5 feet or 150cm) in the mountains of the Caribbean (Zones 11b-12a) but they hardly went deciduous. An evenly moist soil environment, inside the house however, well, that can be a bear to do! A wine cooler can certainly provide temps between 45-55F (7-12 C). You may need to place a pan inside with water to maintain the humidity and place the cooler so the shrub has bright indirect light.

Just wondering, how would you describe the outside environment in winter and summer? Temp-wise, etc? I figure it should be similar to the weather here in Dallas except we may be cooler in the winter months and wetter.

Note that if you are somewhat successful, the plant may grow too much for a small wine cooler's dimensions, especially when you take into account the flowers so, choose the cooler size wisely. You may also need to prune in June to keep the shrub small (invisible flower buds develop around June-ish down here; later further north; then they open in Spring).

Post your progress if you decide to do it.