There is a California case: Barry v. Raskov, 232 Cal.App.3d 447, 283 Cal. Rptr. 463 (Ct. App. 1991), in which a mortgage broker was held liable for the negligence and/or fraud of the appraiser hired. This case has not been extended to a bank (assuming that you used a bank, rather than a mortgage broker). It seems rather straightforward that if the mortgage broker can be held liable for the appraiser's acts and omissions, then the appraiser can certainly be held directly liable, as well.
So, the answer here is a qualified "yes." You may have a claim against the bank or mortgage broker (as the case may be), and/or directly against the appraiser.
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