Absolutely. You can set a different weekday schedule for different team's reports.
You might want to have your Design and Development teams report on Monday, Marketing on Tuesday and team leaders to Management on Wednesday – or however you want.
To enable that, go to Schedule Settings page and disable the checkbox "All teams in the company use the same schedule." Then choose the day time for each team tab. You can even set a different time zone for each team. Then click "Update" to save. All done.
One caveat: Setting different schedules for teams disables the "Everyone" view. The reason for that is team repors would be overlapping, so you can't have the usual 7-day view for whole company. Otherwise it would include someone's report week beginning, another one's ending and it would be a mess.