Automation Engine 10.0.7
WebService Solution 3.2.0+build.1
Yes, this is possible. To do so:
*) The Agent (or its associated Service Manager) will need to be started by a user who has access to the UNC path in question.
** Lower Solution versions (such as the above referenced) may experience issues in some environments and not others. To ensure this capability, please use the most recent Web Service Solution (currently 3.3.0).