It might eventually, but it would probably take thousands of years. Keep in mind, it's not just the occupation of humans, but the climate conditions and geographical features that make a region a desert. For instance, deserts often form behind mountain ranges due to the rain shadow effect.
Doomsday Celebration: 30 “End Of The World” Artworks
the perspective is simply amazing!
the perspective and use of light is amazing!
I have worked on a similar "green invasion" idea on my town Grenoble :
[link]