She does, after a bit!

"So Mr. Arc, why don't you tell me a little bit about yourself?" Coco asked Jaune, walking up to him, studying his face intently.

"Well, not that much to tell, I'm a pretty average guy," he admitted, rubbing the back of his head.

She snorted. "Oh, we both know that much is not true," she told him. "You made it into Beacon, didn't you?" He internally winced, knowing he had cheated to pull that off.

"I mean, I guess..." he hedged, noticing a subtle blush on her cheeks. His heart beat quickly, excitement coursing through him. "Still, I'm not the best fighter around yet... though apparently Ozpin thinks I have the mind of a leader."

"Obviously, he does, or he would not have appointed you to the role," Ren remarked before Coco could respond herself.

"...what he said," she smirked, before approaching Jaune. "...hey, don't take this the wrong way..." she told him in a breathy tone. "But... you're actually not half bad looking..." She placed her hands on his shoulders.

"...I don't get many compliments, so I'll gladly take that one," Jaune remarked. Coco nodded, before leaning her head in closer to his. Happy with his luck, Jaune met her midway, their lips meshing together.

"Mmmmmnh!" Coco moaned, deepening the kiss as she gripped his shoulders, blushing as she found herself being bound to Jaune, body heart and soul, as part of his harem, understanding flooding into her mind. As her inhibitions eroded away, she kissed him even more forcefully. Understanding also flowed into Jaune, making him understand where she would best stand in the harem.