Hi Montgomery,
There isn't currently a functionality to set up a column to be conditional in a report. When the report is built even if a column contains no data it is displayed unless removed by someone viewing the report. If this functionality would be helpful to you and the use of your reporting in Quick Base I would suggest adding it as feedback to our User Voice page. User Voice is a feedback tool used by our Product Marketing team to track user feedback and interest in new features/enhancements. The Quick Base User voice can most easily be accessed from the My Apps page in Quick Base by clicking on the orange Feedback tab that appears on the right of the page or at
http://quickbase.uservoice.com by signing in with your Quick Base credentials.
I hope that information is helpful and I would recommend if you add this as feedback in User Voice that you link back to it here in the Community so that others with a similar need can chime in as well.