Yes and no.

He walked back into his apartment, still examining the lamp, closing the balcony door behind him. He continued to examine the lamp, and noticed a smudge on it, before he began to scrub at it with his sleeve.

He then yelped in shock as he saw glittering purple mist erupt from the spout of the lamp. It coalesced into a lovely young woman with brown skin, flowing long flowing black hair with a faint purple sheen, purple eyes that seemed supernatural, and large breasts barely contained by the top part of a blue Middle Eastern harem outfit that seemed made of translucent silk. (Think the story image) Her lower half was missing, instead consisting of a flowing tail of mist that remained attached to the spout of the lamp.

She opened her eyes, and smiled at David. "Greetings, my newest Master, I am Aza, the current Sex Genie of the Lamp. How may I please you?"

"Wha-what!?" he gulped, rubbing his eyes and staring at her again. "...am I dreaming?" he wondered aloud. Surely genies weren't real, were they?

She giggled. "No, Master, you are not dreaming. This is real... And even if you are, you might as well enjoy it, wouldn't you say?"

"...I mean, sure," he replied, still skeptical. "You're a genie, then? So... Three wishes?"

She laughed and shook her head, floating up to him, ignoring his personal space, and crossing her arms under her breasts, pushing them up in a way that drew his gaze immediately. "No, I'm not limited by number, but by wish type," she told him. "Like I said, I'm a Sex Genie. So the wishes I can grant are purely sexual..." she purred, looking him over. Despite his pudginess, she clearly found him very attractive.

He gulped, blushing hard. "Sexual wishes?"

"Yep! Anything you want, within my power, so long as it's something sexual," she assured him. "So, what would you like?"