The Image Explorer widget allows you to sort items, but it doesn't allow you to sort them by a date field. This is written in the widget's help:
"Sort by—Sort the image list based an attribute field. You can choose to sort in alphabetical or reverse-alphabetical order for string fields, and start with highest value or lowest value for number fields."
I don't know if it's in development for future versions, but I think the ability to sort all items by date in this widget could be quite useful, it could be included as an improvement in a future version. I can't post in the ArcGIS Ideas forum, but it would be a good idea.
Thanks!