No, not bookmark syncing (although that is something that is included in the Chrome Sync service). I mean syncing the open tabs across devices[1].
I use iOS Chrome over Safari (and 1PW Browser) exclusively for this feature. Any tab I have open on my desktop is synced to the cloud and available to access from my iOS devices. Any tabs open on my iPhone are also available from my Desktop copy of Chrome.
So yes, similar to bookmarks -- but for currently open tabs.
I'm not sure how feasible this is, having never looked into it, but I can certainly pass this along as an idea if you can confirm the request for only bookmarks. Again, no promises because it might be locked down pretty heavily.
Kyle
AgileBits