For now, the SRI label does not allow to precisely choose the geographical zone where your savings will be invested in. However, an evolution is possible as the label’s technical specifications may be modified. It is therefore possible that the label’s committee in charge of shaping the future of SRI propose a motion in that sense.
In any case, if you region stands out in a given field, you can choose funds which focus their investments in this field (those are thematic funds). Then, you will indirectly support your local economy.
Additionally, SRI labelled funds must make a list of all the companies they invest in and share it to the public. Consequently, you can easily identify the funds supporting the most companies in your region.