Yes, you most certainly can! All of our shared hosting plans allow you to host multiple websites. The number of sites varies with each plan, since the resources that come with each plan differ. You can also set up various domain names (aliases) which will direct your visitors to specific pages of your choosing.
You can manage all that through your cPanel account. From there you can change the primary domain for the account, remove or add domain names, or simply manage their DNS zone.
Note that addon domains share the hosting account's resources with the main domain