Can the GraphQL API add new projects or groups?

Actually, subject says it all.

Since GraphQL is touted as “the way to go”, I started doing things with it: querying users etc works nicely (and indeed, is less “busy” than REST).

Now starting with mutation queries, I managed to add an issue to a project, but am at a loss on how to add new groups or projects.

Is this possible at all? Or should I go back to the REST API until things settle?