Yes and (unfortunately) no. Terraform providers are here [1] with the official documentation at [2]. Managed databases are not available, though. I think they have some sort of database offering if you select their web hosting options, but you can't just get a managed Postgres instance yourself.
EDIT: For what it's worth, I have had good experiences with app servers hosted on Hetzner Cloud and managed Postgres provided by ElephantSQL (https://www.elephantsql.com/) for Germany-based apps.