This is the kind of option that other users have requested, grubbyscleaning.
The weekly timesheet in QBO follows the Monday to Sunday format. This means that you can't customize the dates based on your pay period in payroll.
I can share this idea to our developers to have this option in QBO. This might get a chance of being added soon since the Desktop version has this feature already. Just keep an eye out for new updates and I'll also do the same here.
Please keep in touch if you have any other concerns.