I don't think so, because I think they are the existence of soul and body! First of all, Conan doesn't want Xiaolan to be sad. He cares about Xiaolan more than himself. He would rather let Xiaolan believe that he is still living in a healthy place, and he doesn't want Xiaolan to know that he will be sad when he becomes like this. The two of them get along like relatives.
Even if Xiaolan likes Conan, it is also a kind of love for her brother, not the so-called love; Also, Xiaolan's personality is quite careless. He can't like Conan as much as love. If it gets out carelessly, countless people around Conan will laugh at her, so I don't think Xiaolan's love for Conan is empathy.