You can easily bypass pretty much everything, even the initial battle between Deskari and Ten (if you hit the enter key right after starting the second activity you do at the festival.
You can really whip though things - I know as I have gone through the first prologue area dozens and dozens of times trying out characters. Alternate SPACE bar to skip dialogue , that doesn't require you to chose a response of course, and ENTER to skip any kind of cut scene.
They even tell you this on the tips and tutorial lessons they give.
EDIT: To clarify I don't recommend skipping scenes or dialogue if you haven't seen them before as they are critical to the story in most cases. On the other hand if you have seen them a half-dozen times then its nice to have that option. I have done the first chapter close to 20 times at this point and don't really need to see them all again except for my favorites, those I still enjoy watching. I love most of them myself and like how they made a game of this genre and style so cinematic.