Is it possible to get student visa from chinese embassy in djibouti?

You can apply it in the Djibouti Chinese Embassy. Documents you need to prepare are your passport, passport photo, legal stay permit or the original and photocopy of your visa for Djibouti, originals of photocopies of your admission letter, application form, and medical check-up form. If it doesn't go smoothly, you can also try to apply through the embassy in Kenya.