Is there any way to hide an item in a listbox?

I have a listbox full of items and then 2 arrow buttons (--> and <--).
When I click the --> button, the item in the listbox goes to a text field and needs to be hidden in the listbox so they can not choose it again. But if they choose the <-- button, it need to be put back in the listbox (visible).


Cheers,
Bebandit