Could an NBA team survive by only signing players from that region?

Athletic Bilbao is one of the top soccer teams in Spain and despite their competition spending millions and millions on top players from all over the globe, they have stuck by their founding principles of only signing players who were born or grew up in the Basque region.

For reference, the region is bigger than the Houston area, but smaller than Jacksonville.

Could any NBA team survive or win a title with this self-imposed rule? Only signing players who were born or grew up in that region? They wouldn’t be able to draft, or trade for, or sign any free agent that doesn’t fit this criteria.

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