Accessing storage page directly via _layouts/storman.aspx page, shoes the above error message.
Checked the same behaviour on the other site as well and it was not the same.
Tried to activate and deactivate the Office Publishing feature. Storage Allocation link was still not appearing.
Not sure that was done, seeming like a human error obvious.
Set the correct quota for the site and Site Storage Allocation page was back.
TechNet Wiki Link: http://social.technet.microsoft.com/wiki/contents/articles/20821.sharepoint-the-storage-space-allocation-page-cannot-be-used-for-sites-that-do-not-have-a-storage-quota-defined.aspx
Applies to Products: SharePoint 2007, SharePoint 2010, SharePoint Server 2013