No, game AIs will be designed by humans for a long time to come. The good ones are usually tuned very well to provide a very specific experience to the player. A big part of game design is to define this experience and behaviour. Automatic tuning risks altering the game in ways that deviate from the designer's intent too much and might make the game unplayable. The game may become too hard or too easy or the learning algorithm may decide to optimize the AI to exploit some obscure game rules or even a bug to become much stronger than it is supposed to be. Automatic learning may even backfire completely and get the AI in a state where it does fine for the most part but breaks completely if you do one specific, maybe even very common thing.
Anecdotal evidence: some guys trained a neural network as a driving AI for a racing game. All went well on the training track. The network started to find its way along the course and did faster and faster laps. Then they took that AI and put it onto a new track. It did fine until it suddenly failed horribly and put the vehicle against the nearest wall. The developers finally figured out that there was some new, harmless object on the track that the AI wasn't trained to encounter. So it mistook it as an obstacle to avoid and did just that.