Can a Hotmail Email Be Permanently Deleted

Hi, if a machine is using Outlook Connector with Outlook 2007 to access a Hotmail account, is it possible that an email coming in to Hotmail can then be opened and replied to from within Outlook 2007 and then not appear again in the Hotmail account. (i.e. can the incoming and reply emails be deleted in Outlook 2007 without ever appearing in Hotmail again?)