Not in the foreseeable future, sorry.
Android sync is not compatible with third-party syncs like the website that did its own implementation.
(such implementations always start from the mobile platform)
Kurviger app uses Google Play services.
Any synchronization implementation is expected to use the facilities of Google Drive.
Even if I could find free time in the future, it would be with an additional and expensive subscription.
(with prices like other applications, e.g. see here and here)
So the answer is that you already have a synchronization solution available on your pc + mobile.
Free synchronization solutions already exist and work perfectly with many available providers:
(Google Drive, Dropbox, OneDrive, etc.)