Yes, you can have as many domain names as you wish. eApps places no limit on the number of domain names you can have in your plan. However, be aware that your Virtual Machine has a finite allocation of resources (which you can increase), and each site you have on your VM will consume some of those resources.
Your domains are managed through the
DNS Manager in the eApps Portal. You can also purchase domains through the eApps Portal, either when you buy your hosting service, or after your Virtual Machine has been provisioned. You can also use domains that you have purchased elsewhere. Domains purchased through eApps will be registered through eNom.
NOTE - if you are on a VPS plan (Virtuozzo and Parallels PBA Control Panel), contact
Sales if you have any questions -
https://support.eapps.com/contact/sales