Yes but you'll need to upload your images to the media folder and make sure the reference in the code is changed to reflect this. Not sure what you'd do with the font files or whether you really need them - maybe add a line in your style sheet and change the reference accordingly?
If that didn't make sense then you might be better posting the code here and then someone can tell you what to change?
Just copy the code out of banner.htm, place it in your widget, and make sure any folders the code references such as /images are in the right place, it should work fine.