It would be a piece of cake for Han Chu to get a girlfriend with his great prospects. However, his mother was the one who wanted to have fun.
A woman like Mother Han had no career, nor did she have to take care of kids. Time was all she had. It was only natural that she would follow up on her son if she knew that there was any opportunity that he might be dating. She was the one persuading him to get into a relationship. She would play cupid if she happened to encounter a girl whom her son liked but was too shy to confess. If her son had no interest in the girl, it would be fine. She would just treat it as killing time.
Han Chu was not a man who would play along with his mother if she attempted to persuade him anyway.