Not with an ASIC, not even for sha256(sha256(password))-type hashes, not even for the simplest single-hash case as opposed to the hashlist scenario which is much more complicated. Bitcoin mining is different as compared to hash cracking, inputs follow a certain pattern. It doesn't have to worry about candidate generation, full-length hash comparisons and more complex cases involving comparisons against lists of hashes where hash bitmaps or similar technique needs to be employed for early rejects in order to reduce the SLOW host-device transfers.

Sorry, you can't profit on mining ASICs in case something generally f***s up.