Dear Student,

Sure you can participate in any counselling conducted by Delhi and you will be eligible for the state quota of Delhi also but for that you need to complete one step, which is you have to create the domicile certificate of both yourself and your father of Delhi, because the counselling part may ask to to submit the domicile certificate of your or your father, it depends. And try to issue the certificate new because they wants only newly created, they may have mentioned in their notification form.

Good Luck :)