Temari has her chances.
A H2H fighter's weakness is long-range. She knows he's a Hyuga and she's not stupid, she won't engage him and just keep her distance. Neji's at a further disadvantage being in the forest, where his encounter with Kidomaru proves P1 Neji's Byakugan can't see very far because had he been able to see Kidomaru, he would've confronted him.
With that in mind, if she were to use a quick blast of wind to kick up the dust - Neji can't keep his eyes open and she's got a moment to back up into the trees, out of his visual radius. Then, all she needs is a very short moment to create all this:
You must be registered for see images
Doubt Neji would have time to use Kaiten and even if he had, I don't recall it canonically being used in mid-air.