Yes, it is possible. "QtWebkit Bridge":http://qt-project.org/doc/qt-5.0/qtwebkit/qtwebkit-bridge.html
okay the webkit bridge tutorial looks nice, but it seems like it might be overkill for what I am trying to do. All I need to do is have the JS in the HTML file send a signal and a bunch of data to the Qt C++. Is there anyway to send a signal and a bunch of data without getting as complicated as the webkit bridge does?