Once someone creates a brain like computer that can make connections between neurons with synapses, then yeah, maybe. A brain is like a computer since it does calculations subconsciously so once you simulate the functionality of a brain then it could be possible to make it function on its own. And even we humans can't control everything our brain does so we are also "programmed" to function like an AI in a sense.
All mammals have a similar brain but humans have become more intelligent because of the larger sized cerebral cortex compared to body size. So you just have to make computer a brain with the same or higher capacity of a human brain. But that is not going to happen anytime soon since human brain can store petabytes of information.
So I believe that if you program a computer to work like a brain and then you let it learn from the surrounding environment and it develops a self-image like a human baby would after enough time has passed then it could make art. Even a human starts from scratch so why can't a robot do the same?