There should be a way, as the parts directory is a repository on github you should be able to download a copy, unzip it and copy it in to the
(this is on Windows your path will be different)
C:\fritzing\fritzing.0.9.3b.64.pc\fritzing-parts\core for the fpz files
C:\fritzing\fritzing.0.9.3b.64.pc\fritzing-parts\svg\core\ breadboard
icon pcb schematic (where the last four are directories under core). Note the weasel word "should" above because I haven't had to do this. Hopefully someone with better knowledge will have a less manual solution but I think this should work and give you a current parts directory (although it may fail as it may not update the database correctly come to think of it). I've mostly done the opposite: swipe files out of here (such as the breadboard) to get at non exportable parts.
Please tell us if you make it work 
Peter