This is very dependent on the version on the JRE that you are using, and thus on the version of JSSE it ships. It also depends on your local configuration, notably the jdk.tls.client.cipherSuites and jdk.tls.server.cipherSuites system properties.
The definitive answer is obtainable for your JRE as configured by you by running the following code
SSLContext context = SSLContext.getDefault();
SSLSocketFactory ssf = context.getSocketFactory();
String cipherSuites = ssf.getSupportedCipherSuites();
and examining the cipher suites returned.
BTW, BouncyCastle implements more cipher suites, including the one you seem to need, see https://github.com/bcgit/bc-java/wiki/Provider-Installation for how to install.