While this isn't live now in any version of Chrome from stable to Canary, work is underway to improve the way notifications through the app that originate from websites are handled on Android O by giving them individual channels.

Currently, with all Chrome versions (59 stable to 62 Canary), the app offers 5 different notification channels: Browser, Downloads, Incognito, Media, and Sites. These let you assign different importance levels and choose how each type of notification is handled by the system. But the "Sites" channel treats all websites equally, so you can't give a low importance to facebook.com and a high importance to some other site, or vice versa.

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