No, Outlook must be open to run.

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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, jill is grape asked:
| I want to be able to see my appointments or schedule when I sign on
| my laptop. Will Outlook calendar do this or what will?