Magnolia Public with different views for different users

Hi,
I want to setup Magnolia public instance in such way that based on a 
login mechanism users can see after login the Magnolia public instance 
page according with the rights setup by the superuser for example.
For example user1 will see only
menuItem1 ----
    ---- submenuitem11
    ---- submenuitem12

while user2 see only
menutItem2 ----
    ---- submenuitem21
    ---- submenuitem22

Is this possible using only the user rights settings from AdminInterface?

Thanks,
Adrian

----------------------------------------------------------------