Yes. Each way of spending focus tokens triggers and you can spend one focus token per opportunity. So both the Focus Token's basic effect and Advanced Optics trigger, and you choose the order in which to resolve them, spending a token on each if desired.
Worth noting: Calculate & Evade tokens work the same way, but their basic effects specifically say you can spend one or more of the token. Focus tokens are limited to one per effect because each of those effects only says to spend one, instead of "one or more".