He does

Arya almost celebrated out loud when Bran lunged forward, swinging his blade over his head. She saw Jon block his opponent, an astonished expression on his face.

Her brother didn't relent, continuing his offense and keeping Jon on his back foot for the first time in that fight. Upon closer observation, Arya noticed just how impeccable the bastard's form was. Almost like a graceful dance move each time he defended against his foe, her eyes barely comprehending how he did it. The young lords, on the other hand, was sloppy. But that didn't mean that his strikes looked less precise or powerful. He seemed to fight like a wolf who'd been left starving for a week.

Arya let out a gasp when a masterful parry deflected her sibling's blade with such strenght that it got stuck on the mud. It's over. Was all she could think. Bran would never be able to raise his blade in time. So many ways Jon now had to end that duel. The girl was about to leave as she didn't really want to watch him get beat. And why would it matter if he won anyway? They could always hav...

Pang!

The lass whipped her head to where the sound of swords clashing came from. She couldn't believe it, and neither could the rest of the people on the courtyard by the sound they made.

Bran managed to parry his opponent. The young lord struck at the base of Jon's sword, the momentum propelling it away. He then bumped the bastard with his shoulder, sending him out of balance. In another masterful move in the girl's eyes, he stretched himself connecting the very tip of his sword with his opponent. Jon's back was against the ground.

A loud cheer erupted, as her sibling pointed his blade at the bastard. Arya clapped, amazed by his performance. Her heart skipped a beat when she saw his eyes make contact with her own. She must've been smiling like an idiot. The girl could hardly believe that was her younger brother. Had he always been strong like that or did her kiss do something to him? Either way, naughty images filled the lady's mind as she remembered the promise she'd made earlier.

But then she saw him suddenly lost his balance as Jon sweeped his legs off the ground. The Snow moved with speed, grabbing the sword next to him and pressing against her brother's neck. The crowd started laughing at him. Arya couldn't help herself and started laughing as well, his cluelessness was too much for her.

She couldn't tell when it was that he had left that place.