Are there some levels that can't be finished with certain characters?

I've been playing Dustforce, and just yesterday learned that the different characters are not there simply for aesthetics.

It makes perfect sense as a game-design decision that, in the overworld/hub area/level select places, you have to use different characters to access some new levels.

The other night I encountered this:

I assumed at first that this obstacle was not conquerable with the blue character, but I discovered that dash-jumping makes it possible.

So this is strong evidence, but my ultimate question has not yet been definitively answered: Are there levels that only certain characters can finish, and if so, must you rely on trial and error or overworld suggestions to figure it out?

Dash before you jump (like in Megaman X) then double jump, you should be able to hit it with a heavy attack and possibly even a light attack, after hitting the enemy you are able to do an extra jump and wall run the ceiling to the other side of the screen.

Hope this helps

As far as I'm aware, any level can be completed with any character.

If you're really unsure about a particular stage, I'd suggest you check the leaderboards, to see if there are results for all four characters, but I suspect you'll find that there are on every stage. (I don't have time to do this right now for every level or I'd check).