Polycystic Kidney Disease, which I assume is what you're referring to, is a genetic condition. Either someone, in his family, has/had the disease or he doesn't. Genetic testing can determine whether your husband has PKD or simple kidney cysts.
Zoloft is, rarely, associated with kidney problems but I don't believe any cases of cysts have been reported.
We hope you find this general health information helpful. Please note however, that this Q&A is meant to support not replace the professional medical advice you receive from your doctor. No information in the Answers above is intended to diagnose or treat any condition. The views expressed in the Answers above belong to the individuals who posted them and do not necessarily reflect the views of Remedy Health Media. Remedy Health Media does not review or edit content posted by our community members, but reserves the right to remove any material it deems inappropriate.