Is it possible to breathe through your nose while you sing?

No, it is not possible to breathe through your nose while you sing. When you sing, you use your vocal cords to produce sound. Your vocal cords are located in your throat, and they vibrate when you sing. When you breathe through your nose, the air goes through your nasal passages and into your lungs. This means that the air is not going through your vocal cords, so you cannot produce sound.