Yes, you can do this by writing a converse.js plugin in which you override the insertIntoPage method ChatBoxView.
Refer to the plugin documentation above. In short, it would look something like this:
converse_api.plugins.add('myplugin', {
overrides: {
ChatBoxView: {
insertIntoPage: function (type, status_message, jid) {
this.$el.insertAfter(converse.chatboxviews.get("controlbox).$el);
return this;
}
},
}
UPDATE: with the latest version instead converse.js method override _equElement , instead insertIntoPage.