No.
Oracle recently changed their commercial model for Java SE, requiring commercial users of Java applications using OracleJDK technologies to obtain a commercial license for any machine running the application.
Geneious Prime and Geneious Biologics are built using OpenJDK, an open-source licensed implementation of the Java Platform. As such, a commercial license for OracleJDK is not required to use either solution.
We choose the OpenJDK implementation of the java platform due to the maturity and robustness of the implementation. It is actively developed and patched, with contributions from a number of prominent IT organizations, including: Microsoft, Azul Systems, Canonical, and Red Hat.