That will not be possible using native Quick Base.
You can easily do this on the dashboard, but for the table home page, you do not have the ability to make extra buttons.
You can however add a button so say the last column of a report or to a form, though. So maybe if your staff are always working with a certain form when they save and view the record there can be a link to run that report.
Note also to teach the users to learn about the star icon at the top of all quick base pages which will direct them to the last 10 records they have viewed and the last 10 reports that have run.
