I'm pretty sure there is a rules forum thread about this. It should be against the rules because you are using the same action twice. Some people probably dispute that but I bet it will be spelled out in the FAQ once they release it.
Woops, Madadizer is right. I misread the original post. We're all pretty sure you can't use your Barrel Roll action and Expert Handling in the same turn in order to Barrel Roll twice. Expert Handling is essentially granting you a free Barrel Roll action, and the rules expressly state that you can't take the same action twice, even a free action (page 9). But I don't want to get into another discussion about that here because there is another discussion elsewhere.
I used Expert Handling on my TIEs with Barrel Roll so I could ditch the enemy target locks without acquiring stress, and it was stellar!