Yes, this is possible using CXF. You will need to set up the client conduit. You can specify the keystore that contains the certificates that will allow you to access the web service in IIS. As long as the certificate you are using here is a known allowed client in IIS, you should be ok.
http://apache.org/hello_world}HelloWorld.http-conduit">
<http:tlsClientParameters>
<sec:keyManagers keyPassword="password">
<sec:keyStore type="JKS" password="password"
file="src/test/java/org/apache/cxf/systest/http/resources/Morpit.jks"/>
</sec:keyManagers>
<sec:trustManagers>
<sec:keyStore type="JKS" password="password"
file="src/test/java/org/apache/cxf/systest/http/resources/Truststore.jks"/>
</sec:trustManagers>
...
</http:tlsClientParameters>
Sample from: http://cwiki.apache.org/CXF20DOC/client-http-transport-including-ssl-support.html