Надо добавить checkmark на UIAlertAction как показано на скрине. Ответ нашел в StackOverflow, но мало что понял
Learn how to show a
- ViewController as a pop-up
- Add UITable to a ViewController
- Show items in a UITable
- Customize the UITable by adding custom cells
- In each of the custom cells add a button
- That button will have two kinds of images, one blank box and the other box with a check mark
- when user touches a table cell you need to change the button image corresponding to that table row so the user thinks they are checking or unchecking the box
- and lastly add a done button at the bottom to dismiss the viewcontroller