Hi Vadim,
SQLCipher is not FIPS compliant, however SQLCipher core doesn't require you to modify OpenSSL, so if you already had a FIPS compliant openssl build then you could probably link against it. However, I'm not directly aware of anyone who has gone that route.
One potential difficulty is that, according to the OpenSSL FIPS documentation, even trivial changes to the build process negate the FIPS validation. Since OpenSSL builds for iOS, Windows, Android, etc generally require some "non-default" build procedures, this would strike me as difficult to achieve and generally support.
We've only done cursory research into the subject, so I'd be curious to hear if anyone with deeper experience with the OpenSSL FIPS builds has any further comments.
Cheers,
Stephen