Yes, in version 2.0.0 and 2.1.0, if you go to the Notes list (or to the Bookmarks list) by tapping Notes or Bookmarks at the bottom of the main screen, you'll see a "BACKUP" button in the upper left corner. Tap that to backup or restore your notes, bookmarks, and highlighting.
Current limitations of this feature are:
- You must have a MantisBible.com user name (this is free, of course, and if you've bought any Bibles or anything else, you already have this)
- You must have an internet connection, of course -- you can't back up to or restore from our web site if you can't reach it!