That's an interesting question, one worth exploring.
The question assumes a couple things that I think should be made clear to form a basis of discussion. First, the question assumes some kind of anthropic observation of the universe. It implies that it is important to note that our universe has physical constants that are ideal for supporting organic life. Second, the question assumes that the weak version of this anthropic observation is unsatisfactory. The weak principle is simply the statement that we wouldn't be able to observe a universe that didn't have constants ideal for supporting organic life. Such a statement is overtly true, but is not an explanation of anything.
So this question is making the implication that there must be some reason why our universe, either as a single occurance or as one entity among many, has the conditions it has. It challenges the idea that we exist in a universe that is the result of an epic random roll of the dice. Now, Richard Dawkins has argued that a single random occurance could be sufficient to seed a universe rich in the wildly vibrant patterns of life that result from evolution. I see that as being true, but again it isn't satisfactory. Yes, we could very well exist in one random universe out of some multiverse of possibilities, but that explanation also doesn't really explain anything. If we exist in a random universe, why THIS one instead of THAT one? It's possible that we simply have to accept randomness as a kind of first cause, but it leaves an immensely wide door open for bolder explanations.
So I think there's a lot of interesting potential (both as philosophy and hard science) in what-if scenarios that try to explain the anthropic observation.
Strong (bold) what-if scenarios will attempt to provide an explanation that lays down verifiable predictions and is consistant with known science.
So, back to the original post, could an AI have created the universe? Maybe.
There are a couple ways you could draw lines from the AI question to more established epistemology to justify a "maybe" answer...
First, there is the simulation theory. If the universe is some kind of simulation, it seems reasonable to state that the simulation could, maybe be the result of an AI's implementation. Or, at the very least, some intelligence sufficiently advanced to conceive of and implement a large scale simulation at the level of granularity of our observed reality.
Second, there is cosmologic evolution. The idea being that universes replicate through some process and are selected for certain traits by some process. Each child universe possesses traits that are similar to the parent universe. A detailed discussion of this idea can be found here:
http://www.kurzweila......html?m=1#647 (The Physical Constants as Biosignature). In this kind of epic evolution of the cosmos, perhaps intelligent life weighs in somehow as a characteristic that raises the likelyhood of a universe reproducing successfully. If that were true, it could be possible that the intelligent life would have to be a post-singularity entity of great magnitude and intelligence. (Able to manipulate the universe at such a scale as to effect the process of cosmic procreation.)
Now we're really out on a limb, but that line of reasoning does lead to a situation where it is possible that an AI created our universe! Not exactly a statement supported by real science, but it is a fun exercise.
The link I posted does treat the topic with a little bit more rigor. It isn't a technical explanation, but it lays the groundwork for thinking in that direction.