Is there a way to hide menu items from the desk structure based on access control custom groups?

Is there a way to hide menu items from the desk structure based on access control custom groups?

Yes, https://github.com/sanity-io/sanity-recipes/blob/master/snippets/deskStructureWithCustomRoles.js

Awesome!! Thanks a lot!

As far as I know, If you are on a free plan, you have only one option to stop users adding new documents, by giving them "Read" permissions only. And if you are on a enterprise level plan then you do have grained access control feature which can resolve your scenario.