Yes, but it depends on what you want to move. You can move things that are currently in your user folders (documents, pictures, downloads, Music) to the E: drive without issue but installed programs cannot be moved. You could uninstall them one at a time and then re-install them on the E: drive.
In the future, when saving docs or pictures or whatever, save them to the E: drive. When installing programs, use custom install and install to the E: drive instead of the C: drive.