Is there's a way to access the field Shipped Date on item fulfillment ?

surely there is a way to get it. However, you could fall back on adding system notes to your search results and criteria

The Date of the Item Fulfillment should change as the status changes So when created it sets a date Then once packed the date changes again Then when shipped it changes again. So essentially the date should equal the shipped date unless someone changed it manually

Doesn't that depend on the Accounting Preference "Update Transaction Date Upon Fulfillment Status Change"?

Yes that’s a good point. It would require you to enable that preference.