It is possible for sure. And depression like Kurt Cobain had involved drugs.
So let's start with this, are you doing drugs? If yes, drug use is linked to depression. If you are not doing drugs, there is a reason you feel depressed, are you upset with your parents? Do you have an interest in someone that does not appear to have an interest in you? Did you have a fight with a friend or friends?
Is there something that happened to you when you were younger that has been building up? All of these questions may provide your solution. Talk to your parents if you can. Talk to a school counselor. Keep posting questions here until someone gives you an answer that makes you feel better. But do not isolate yourself and DO NOT think of mimicking Kurt Cobain's dumba**. When I was your age Kurt Cobain was my freakin' idol and when he died I worshiped him even more. As an adult I look at him and realize that he was just a sad person that didn't have enough guts to face life head on. He was a role model for a lot of people, but I tell you I sure do not want a selfish jerk to be my role model now.
It will get better, I am sure.
If you need to talk to someone, message me. Just do not isolate yourself, it will only feel worse.