No, there is no clothing system currently in the game. (Unless you count a bonus character from a Christmas special, which you can dress up and change, and then have a CG scene with the character you created.)
I like the idea of a clothing system, but it'd currently take too much time and effort for myself and the artist to implement it in a way that I'd be satisfied with. My focus right now is to finish the main story and started content, and I try not to add more work to my to-do list. But once all of that is done, I have the freedom to add every other idea again. Which'll probably keep me busy for several more years. :D