If you're referring to a formal fitting like a Fit Kit - it absolutely is normal for a shop to charge for a fitting. My LBS has different prices (lower, that is) if you also purchase a bicycle or shoes from them - depending on the type of fitting you need.
As an example - here's a link to the pricing page for fittings from my LBS - Wheelworks in Belmont and Somerville, MA: fitting prices.



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