That depends on the bank. I'm not wealthy by any sense of the word (comfortable maybe, but definitely not wealthy), but I've deposited serveral checks at my credit union bigger than my directly deposited salary and I have NEVER been asked for a finger print. And these were with personal checks and corporate checks written for several thousand dollars.

The only bank I've ever seen take fingerprints was Wells Fargo, and that was only for people who didn't have an account there. I don't know if they still do that or not.