No it doesn't.
There were non-Trinitarian relgious bodies in those areas in the Reformation period, but they did not found any churches in the New World.
The Unitarian Universalists of the USA come from a crew of radical Congregationalists from New England like Jonathan Mayhew and Roger Williams and from the radical Anglo-Huguenot Universalists of England and New England.
I caught that B.S. too. It’s like they are trying to make Unitarian history more exotic. Transylvania! Goth kids might go for that!