Gutenberg reusable blocks – is it possible to customise an instance?

Is it possible to have custom settings for a particular instance of a reusable block? If you change any settings/data for a reusable block it changes for all instances where that block is used. This is great for keeping blocks of content synced across a website. But it would be great to also have ability to have fields that are unique to a specific instance of a reusable block. i.e. global attributes and local attributes. Is that currently possible?