Yes, Orion allows this through Invoice Style settings. Go to Billing Manager > Tools > Invoice Styler, choose the Invoice Style that you want to use and click on Edit. Click on Invoicing > Settings, and check the option that says Show Posted Payments past Invoice Date.
Note that you may want to make a copy of the “regular” style and make your edit on that copy first to test it, if this is something you do not plan to use that often.