It doesn't but if you still want to try it out there's a demo for it available on both PS3 and PS4.
EDIT: Seems the PS3 demo got removed.
Same with the PS4 demo, it quit working for me the day the full game was released.
Much like its JP counterpart, those demos were only there for 2 weeks. Pretty stupid to have a timer on it imo since all it was was Sol and Ky and very limited features.
There is no stylish mode here. That said, if you want story, you don't have to worry about being good since there is ZERO interaction with the story mode. Its just a 4 and a half hour anime movie.
Regarding learning the game and its mechanics. There is a VERY good built in mode called tutorial and mission which teaches you the basics in an extremely easy to understand manner. It won't take long at all to get the gist of it and then apply what you learned in Mission mode to get an even better understanding. People really shouldn't be using the excuse that Guilty Gear is too overwhelming for them to get into. All the tools are there to become competent at the game.