I have no idea if I am considered "young" (32), but I taught a few classes over the last few semesters to students who were unambiguously young, and I can definitely say that young people coding for fun are definitely out there.

A few students of mine would show me little games they were working on, or websites they were building. Sure, they might be doing this a bit for resume-fuel, but it was abundantly obvious to me that they were doing these things largely because they thought it was cool.

And you know what? It is cool! I tried my best to encourage them to keep at it.