If the user has rights to create new projects, he can do it not only from Project page, but also from the Scheduling one. If End-Users from your organization don't have access to projects you can hide the project link in their Scheduling page.
Click the Plus button on your Tabs bar.
Go to Security Items tab and click it.
Search for projects_tab security item for End-User profile.
If it is set to Yes user can create new project, if it is set to No, there is no such option.
The Scheduling page for End-User profile with projects_tab set as Yes.
The Scheduling page for End-User profile with projects_tab set as No.