Not right now, because all themes use the same wp_options setting for widgets. There’s no real theme ‘deactivation’ which would allow you to back those up, and unlike Plugins, these options are essentially ‘reused’. It’s working as designed right now.
Would it be a good idea to have theme specific options, perhaps by prepending the theme slug onto the option name?
Thanks Ipstenu, got it. hope that would be considered as a todo.
noixdarec – It’s in Trac I believe, but flagged ‘future’.
fonglh – I think they are flagged that way, which is why you lose them between theme changes. I remember listening to folks chat about this, and how annoying weird and complex it was.
Personally I’m thrilled they save ’em in inactive! I remember when they were just GONE!