Yes! You can either 1) use a free domain alias, or 2) simply order
another domain admin for each additional domain you need. Please note
that while this FAQ only describes what's current in Zimbra 5.0.x, we
expect that later versions of Zimbra 5 will enable further features, autonomy and convenience for clients to manage multiple domain names.
Domain Name Aliases (aka domain aliases)
A.
Description: A domain alias is a one-to-one, automatic mapping of one
domain name to the other. So if your primary domain is yourcompany.com,
and you have ordered a domain alias for yourcompany2.com, then any
mailbox you create for yourcompany.com will automatically accept mail
for the same mailbox at yourcompany2.com. All mailboxes in the aliased
domain automatically map one-to-one to all mailboxes in your primary domain.
B. How to order:
Place your order normally and add all of your domains by clicking the Add Domain button for each one (note the "." is added for you between the fields).

Once the list of domains reflects all of the domains you'd like to order, select one and only one primary domain to which all the other secondary domains will map, and click Set as Primary next to it:

Here's an example, in which simpsons.com will be the primary domain, and simpsons.net and simpsons.org will automatically be added as domain aliases:

If you need to make a change to your domain aliases after your order is complete, enter the
help desk, and open a ticket requesting a change to your domain aliases. Domain aliases are unlimited and free-of-charge.
Please note that when you place your order, your chosen domain and domain aliases are configured automatically on the 01.com servers. Mail will not be directed to your domain on the 01.com servers until you change your
MX record in your
DNS. The exception to this rule is for existing clients using the 01.com servers, including 01.com team members: for these users, the 01.com mail server will attempt delivery only to the domain installed locally. For example, prior to switching your MX record, if you're wondering why you haven't received responses from 01.com team members, check your mailbox on the 01.com server, because our messages, sent through the 01.com servers, will be delivered there.
Additional Internet Domain Names
A. Description: An additional domain name provides a separate domain
name administrator account that allows you to add unique mailbox names
to that domain. For each domain name you order, you will have a
separate login @ that domain, to enable you to create mailboxes,
distribution lists and aliases. While your mailboxes may be completely
discrete, it's also possible to forward email using distribution lists,
between mailboxes and even domains you order, and even to have domain
aliases for multiple separate domain names.
B. How to order: on your
order form,
once you've added a domain to your Business Hosting package, you can
select Continue Shopping. In this way, you can add as many packages,
for as many discrete domain names as you may require. Note that after
the first 30 days, you will be charged for at least one mailbox for
each domain you order this way (your domain admin mailbox).
Cross-domain searching. Note that by request, we can enable secure, cross-domain searching
of the Zimbra LDAP database, so that your mail clients such as Outlook
and Mail.app through AddressBook can receive directory information on
mailboxes across many domains.