Can I get a student visa .?

Can I apply my student visa , through your embassy in djibouti . Your embassy in Sana is closed , I already have an approval from a university in china...?
If I can apply ? How long will it take from to issue my visa???

Can I apply a student visa for my cousin, he is Yemeni citizen , for some how he can't come to Djibouti ?.? To apply it himself