I love the concept! It seems ambitious to build from scratch in 11 days, but I guess that depends on your skill and schedule. I second what ShibeyFaceGames has said; even a proof of concept build would be interesting to try out.
It is... my schedule is very flexible so I can work on it a lot. However, visual novel system isn't that hard to implement, I've actually done it in another unfinished project of mine and it didn't take too long from what I recall, so I'll be using that as a reference and upgrade it. The issue here is populating the game with the story and messages themselves. It actually surprised me before, but writing story and implementing it into a game takes a lot of time as well.