Hi @Tomasz Cholewa and welcome to the community!
Unfortunately no. I've found when I want guard rails around team-managed projects, the best approach is to lock down ability to create them:
Of course, this is assuming that users don't need to create team-managed projects that frequently as this could create unanticipated overhead on your Jira Admins.
The other option is to set up an automation that notifies you and/or other Jira admins every time a project is created so that you can do a quick spot check to ensure access was configured appropriately. If you're familiar with the Jira API, you could get more complex with the rule and have it check for team vs company-managed and only notifies on team managed.