Can you lay tile over asphalt under the carport?

Asphalt moves so much with shrinking and swelling it's rediculous to try. If you really want tile in your carport I suggest you lay a sheet of plastic over the asphalt and apply a layer of concrete on the plastic making sure you frame out the sides to make a solid pad. A self leveling cement like "ardex" on top of the concrete should make a nice surface for tiling. Tile over the cement and you should be fine.