Yes. If you're a Business Mail Owner or Administrator, you can reassign any of your aliases:
Visit your Email Control Panel.
Click the "Edit User" link under the name of the person currently managing the alias.
Email Control Panel - Edit User Link
On the Edit User page, click the "Reassign" link next to the alias.
Email Control Panel - Edit User: Reassign Alias Link
In the pop-up "Select user" dialog box, click the radio button next to the user to whom you'd like to reassign the alias and click the Save button.
Email Control Panel - Edit User: Reassign Alias Radio Buttons
Note: You can reassign aliases only to users who have activated their email addresses.
You'll see that the alias has disappeared from the user's list of aliases. When you return to the Email Control Panel, you'll find the alias is now associated with the new user.