Yes it is possible. What version of DW are you using?
If you are using 0.7.0 there are some properties that can be set on the io.dropwizard.jetty.HttpsConnectorFactory
<tr>
* <td>{@code supportedProtocols}</td>
* <td>(none)</td>
* <td>
* A list of protocols (e.g., {@code SSLv3}, {@code TLSv1}) which are supported. All
* other protocols will be refused.
* </td>
* </tr>
* <tr>
* <td>{@code supportedCipherSuites}</td>
* <td>(none)</td>
* <td>
* A list of cipher suites (e.g., {@code TLS_ECDHE_ECDSA_WITH_AES_128_CBC_SHA256}) which
* are supported. All other cipher suites will be refused
* </td>
* </tr>