Is there a genomic test for ovarian cancer?

Not a single test: Different cancers have different genetic anomalies predisposing to different types of cancers. Even cancers of the ovary have multiple anomalies that are thought to be causative. Brca 1 & 2 (same genes involved in breast cancer) abnormalities are associated with increased incidence of ovarian cancer.

Yes: Many genes have been identified that may increase your risk of ovarian cancer from the normal <1% risk to a doubling or up to a 40% lifetime risk. The best validated gene is the brca gene. The new next generation sequencing technology can check for 19 genes at once that increase risk of breast, ovarian and uterine cancer. This may be helpful if you have a family history of ovarian cancer.