You can edit the Portal Aliases directly in DotNetNuke.
As Admin select Admin|Site Settings, Advanced, Portal Alises to view/edit the values for that portal.
As Host, select Host|Portals, edit any portal, Advanced, Portal Aliases to view/edit any portal.
Portal aliases do not change very often but you can easily assign a user to the administrators role if they really need access. The reason you can't modify the current portalalias is that you would disable your own access to the portal.
Note that modifying the portalalias through SSMS may break working DNN portals.
Also note the application should be restarted to reflect portal alias changes (via IIS Manager or editing web.config). You must be logged in as a host to use host settings to restart the application via DotNetNuke.