User wants to submit the time entries of the same week to different people from Time Card > Week View.
When submitting time entries from Time Card in the Week View, you have the option to select the rows (projects) whose time entries you want to submit for the whole week. However, if you want to submit the entries of some days in that week to one person and other days to another person, you should use the Day View of the Time Card. That allows you to send the entries of each day separately. Check CORE Help for details. You can also use the Time Entries screen for this purpose. It gives you more control over the entries you want to select and submit.