According to the NASA website, the current definition of where 'space' begins is..."the lowest altitude that permits a vehicle to orbit the earth without entering the earth's atmosphere. That altitude is approximately 100 km (62 miles)." So, space begins around 60 miles above the earth's surface. From that height, there are lots of man-made things which are visible, as the earlier answer says.
Seeing the Great Wall from the MOON, however - which is what is usually claimed - is exactly as likely as seeing a schoolboy's 12-inch ruler if he held it aloft 400 miles away!