Exporting from Fritzing to other softwares?

I doubt it because Ki is a bit basic. If you look at it it only has maybe 20 buttons. Just be aware that parts are public made, so they might not be perfect.

If you're good at Ki it should be a snap to duplicate the SCH with both programs open, using FZ as a visual ref and duplicating in Ki.

EDIT
Actually, I think no EDA can import parts made in another EDA.