Yes, you can grow Amelanchier in the South. It is not usually Amelanchier alnifolia (Saskatoon Serviceberry), but there are others. Species of Amelanchier naturally found in the South:

Amelanchier arborea
Amelanchier canadensis
Amelanchier laevis
Amelanchier stolonifera

You might also be able to find cultivars called 'Autumn Brilliance' and 'Princess Diana'.

Wonderful plants and the birds love the berries too.

I once read in a horticultural book that early in the 20th Centry (1920s I believe) there was a commercial orchard of one of the dwarfish (~4-6 ft) juneberries in Atlanta. It wouldn't have been long after that that rabbiteye blueberries became cultivated, which may explain the demise of interest in the south. I have several kinds of Amelanchier growing in central SC but have lost track of what kind in most cases. Riverbanks Zoo here has a small tree that has the most prodigeous growth of pretty large juneberries I have seen. I am going to ask for some scionwood, and get seeds this spring whether or not I can graft. They lost track of the selection name decades ago.