He does

Bran lunged forward, swinging his blade over his head. Jon would normally take advantage of such an opening, but he didn't want to get hit by that blow. The bastard blocked his opponent. The young Stark managed to catch a glimpse of astonishment on his half-brother's face.

Bran didn't relent though, continuing his offense and keeping, for what it felt lile the first time in his life, Jon on his back foot. The bastard's form was impeccable, as he'd defend himself gracefully. The young lords, on the other hand, was sloppy. But that didn't mean that his strikes were less precise or powerful. Bran was definitely not just swinging wildly.

However, a masterful parry deflected his blade such that it got stuck on the mud. Bran's mind lit up with despair. Time seemed to move more slowly. He could clearly see his older brother preparing to strike back. He felt Arya's kiss from before, remembering how soft and warm it was, just like she'd been on his bed the night before. His arms were imbued with a strength he never felt before.

With it, he managed to scrape the mud that had momentarily seized his blade. He could barely hear the sound of astonishment of everyone in the courtyard when his guard parried his opponent's sword. The young lord struck at the base of it, the momentum propelling Jon's sword. He then bumped the bastard with his shoulder, sending him out of balance. In another split second, 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 Bran pointed his blade at his brother. The rush of his victory making him feel light headed for a bit. He searched for Arya amidst the crowd. He found her smiling and clapping at his performance. The Stark's head was already entertaining the idea of his sister's naked body.

Suddenly he lost his balance as Jon sweeped his legs off the ground. The Snow moving with speed as he grabbed the sword next to him and pressed against his neck. The same crowd that had cheered him was laughing at him now.

"What did I tell you about to not stop looking at your opponent?" His half-brother reminded him. Bran didn't care what he said, searching for Arya in the crowd again and then spotting her laughing at him too. The young lord arched his head back with a sigh of frustration.