Can you do it? No you can't.
Not directly anyway - Arrays aren't something that data binding works with in Flex. ArrayCollection however, is something you can work with. To use an Array as a bindable object, you can wrap it in an ArrayCollection. It's similar, but not the same as an Array - you can't push, pull, pop or shift things anymore - you have to work with other methods like addItem or removeItem.
I would've liked to find that all of those classic array methods still worked, but what can you do?