Yes. With Enterprise you can insert the pivot into a spreadsheet and publish that spreadsheet as a dashboard, so it always reads current data.

• Open Sales > Reporting, switch to the pivot view and group by sales team or region and by product category, with the date filters you need.
• Use the insert in spreadsheet option and create a new spreadsheet; the pivot is added as live data.
• In the spreadsheet, add a chart based on the pivot range and any totals or ratios you calculate weekly.
• Add the spreadsheet to the Dashboards app in the section you want, and restrict it to a user group that contains your regional managers.
• Ask one manager to open it and confirm they see the figures their access rights allow.

From then on the dashboard refreshes from the database whenever it is opened, so the Sunday export becomes unnecessary.