Do it. After 20 years of coding and thinking I was fast I was embarrassed into it after watching a teenager type faster than me (they had just completed a typing course). It won't speed up your programming but it will make your communication and documentation a lot smoother. It really only takes a few weeks of forcing yourself to touch type for emails etc. (Don't start with programming, it will be too frustrating).
Maybe it was just because they were a teenager. I'm not far past teenager myself, and I started typing before getting typing classes in school. On random excerpts (typeracer.com) I get 80-100wpm with 98% accuracy, typing with about 4 fingers.