Hide Button For Seven Days

I would like to hide a button for 7 to 14 days.

I have a page that will list the progress of the tasks that need to be completed. The button that opens the first task is the one that I want to hide after the task is completed. I have some people that seem to click that button just out of curiosity. The result of this curiosity is a number of orphaned items in the database.

If I can hide that button for a week or two I believe it will stop this issue. Any suggestions, would be appreciated.