This side says that it can support https through the code provided. However, the Appengine SDK complains that:
java.net.InetAddress is not supported by Google App Engine's Java runtime environment
java.net.Socket is not supported by Google App Engine's Java runtime environment
javax.net.ssl.SSLSession is not supported by Google App Engine's Java runtime environment
See urlfetch (for both Java and Python): https://developers.google.com/appengine/docs/java/urlfetch/
Example:
About HTTP(S):