Can This Be Done

I have an app on my Android phone that lets me put in a list of board games. Then it will randomly pick on for me to play and remove it from the list, temporarily until I have gone through the whole list. Then I click on reset. What I would like for it to do, but it doesn't so I figured I would have to make the program, list a game, but ask if I want to accept the name. If I do, it removes it from the list temporarily. But if I do not, it puts it back into the pool.

Is this possible?