I suspect it can be done, but there would be no money in it - growing is less expensive elsewhere, production is less expensive elsewhere, and the US has low duty and excise rates on cigars.

There is also no well-known historic precedent for premium American-grown and -made cigars. The top premium brands (rolled in the US) historically used Cuban tobacco ("Clear Havana's") so there is no historical industry/romance to revive.

The only US-grown premium that I know of is the Kauai Island Prince, although their wrappers are non-US, and, due to tax laws, the tobacco is processed and rolled in Nicaragua(!).