Parts yes, but never fully (at least not anywhere in the near future).
AI is both very smart and very dumb at the same time, and in the ATC world it's not just a case of mis-counting the number of r's in strawberry, or adding 8 fingers to a hand, it is lives on the line.
Computers are really good at pattern matching even across very large amounts of data (that's effectively all AI is), but it's not so good when it comes to thinking when an unusual situation occurs.
The most likely scenario I see is one that computers / AI allows human controllers to control much larger areas, thus reducing the required headcount. Automating some of the routine tasks.
So yes, I do see a future where AI augments human controllers to make their jobs easier, but I see humans in the mix for a long time yet.