久病未医
[jiŭ bìng wèi yī]
It can be interpreted as 'Long Sick but Not Treated'. It might imply the owner of this nickname has been suffering something (possibly sorrow, hardship, or mental struggle) for long without being 'cured', and possibly they don't expect to get healed soon. Such a name often conveys some negative feelings like melancholy, powerlessness, or frustration.