No, all that can be done is to add the week to the Date Navigator.

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Milly Staples [MVP - Outlook]
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After furious head scratching, Lizette Koehler asked:
| Is there a way to get Outlook Calendar to display the day of the year
| under the date in the calendar? For example Jan 1 is day 1, Feb 1
| is Day 32, and so on....
|
| I would be nice to have the calendar show 1/1 for Jan 1 and 1/32 for
| Feb 1....