Being only a five-minute walk to the village,there was no reason to feel afraid.这句话中主句和从句主语不一致,从句不能省略主语,可改为Since it was only a five-minute walk to the village,there was no reason to feel afraid.
如果句子像As he is a student,he has to study hard.主句和从句主语一致,从句中可省略主语,省略后为Being a student,he has to study hard.