Arcana Coelestia # 1056
1056. 'Between God and every living soul in all flesh that is on the earth' means all people with whom this can take place. This is clear from what has been stated, namely that the subject is people who are able to be regenerated. Consequently 'living soul in all flesh' does not mean anybody else.
Acts of the Apostles 21:7-8
7
When we had finished the voyage from Tyre, we arrived at Ptolemais. We greeted the brothers, and stayed with them one day.
8
On the next day, we, who were Paul's companions, departed, and came to Caesarea. We entered into the house of Philip the evangelist, who was one of the seven, and stayed with him.