I would think it would be mechanically challenging, the UZI doesn't really lend itself to FCG updates like that.
I would think that most "I was an open bolt gun design that's "transitioned" into a closed bolt gun" designs don't leave much room for changes like binary's or FRT's.
It's not like an AK/AR/HK etc where you can hear/feel/see when the disconnector releases during forward travel after pull. Technically, isn't the UZI "sear" already reset after you pull the trigger (without releasing it)?