No, because it's a terrible idea to begin with. The movies didn't work because Predators should be fighting humans, Aliens should be fighting humans, not Aliens and Predators fighting each other and some humans thrown in the middle just for the sake.
Alien vs Predator is a concept that might work in video games and comic books, but the cinema versions of both Alien and Predator try to be grittier, self-contained, relatively realistic horror storytelling. As the concept and style they couldn't be more dissimilar: Alien are femenine movies, both in themes and style, Predator is the opposite, extremely masculine.
You cannot throw two alien species at once just for the sake and expect it to hold a candle to better to the two original series. It's no different to terrible productions like Freddy vs Jason or a 12-years old kid saying they should be pitting Batman vs Wolverine or something, and thinking that would do a good movie.
While there is a rather high chance both species could exist in the same universe, if the results are brainless messes like AvP 1 and 2, in matters of style and tone it completely contradicts both series, so it's better not to pit them again and ignore they were once pit together... For God's sake.
