Looks like it will take some time to figure it out, but the developer ljdawson is looking into Lemmy support for sync.
This app is so smooth, and caching posts and comments for offline use while on the plane or in low reception areas is a clutch feature for me.
He’s just learning about Lemmy and the fediverse today so I imagine in the alpha version it won’t but things could change later.
If he’s learning about Lemmy and kbin together than it would seem that implementing both would be higher probability
Kbin is very new, and the api is not very documented, so I imagine it’d be pretty hard to make an app for kbin for now.