If you use Exchange as your default location for Outlook, then no. Once deleted from the server, it is deleted from your default store.

--�
Milly Staples [MVP - Outlook]

Post all replies to the group to keep the discussion intact. All
unsolicited mail sent to my personal account will be deleted without
reading.

After furious head scratching, Carolyn asked:

| Is there a way to keep messages that are deleted from web access from
| being deleted from regular Outlook and vice versa?