Nope, Dotdot does not have anything to do with Matter. The only thing they got in common is at an architectural design level as both Matter’s data model and Dotdot’s data model are both inspired by the Zigbee Cluster Library (ZCL).
By the way, for the Matter implementation in Home Assistant you want for now to follow this other thread → Chip / Matter support (including Thread) and keep an eye on https://github.com/home-assistant-libs/python-matter-server + home-assistant/addons-development (though looks like they will soon move that from the development to the official repository as per https://github.com/home-assistant/addons/pull/2692 and https://github.com/home-assistant/core/pull/79372) as well as following developers https://github.com/agners + https://github.com/MartinHjelmare on GitHub