Yes this is available.
See here for more information -
http://docwiki.cisco.com/wiki/Cisco_Unity_Connection_Messaging_Interface_%28CUMI%29_API_--_Using_the_CUMI_API#Deleted_Items_Folder_Operations

Thanks,

Anil Verma
Product Manager, Cisco Systems
anilve@cisco.com<mailto:anilve@cisco.com>
Phone: +1 206 256 3081
Mobile: +1 253 670 3156
Twitter: @anilve

From: Cisco Developer Community Forums <cdicuser@developer.cisco.com<mailto:cdicuser@developer.cisco.com>>
Reply-To: "cdicuser@developer.cisco.com<mailto:cdicuser@developer.cisco.com>" <cdicuser@developer.cisco.com<mailto:cdicuser@developer.cisco.com>>
Date: Friday, March 15, 2013 12:39 PM
To: "cdicuser@developer.cisco.com<mailto:cdicuser@developer.cisco.com>" <cdicuser@developer.cisco.com<mailto:cdicuser@developer.cisco.com>>
Subject: New Message from Beena Jacob in Cisco Unity Connection(CUC) - CUMI Questions: CUMI and messages in Trash

Beena Jacob has created a new message in the forum "CUMI Questions": -------------------------------------------------------------- Is there a way to get to messages in Trash folder using the REST API?
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