Is it possible for me to obtain another china x2 visa in Hong Kong?

Vin, in fact, if your current X2 has not expired yet, you don't have to exit from mainland to HK and apply for a new X2 there. You can firstly try to extend your X2 at the local exit and entry administration office of the PSB. If you fail to do this or your X2 has already expired, it's possible to get a new one in Hong Kong. Your school may need to issue you a letter stating you need to continue your study and the letter should be addressed to HK consular office.