Certainly, and first apply to the Tehsildar and produce income certificate from all sources. Make an attempt, either you can get such certificate with eligibility and if it is rejected you will be informed of the reasons.
Has your father disowned or abandoned you legally? I hope not. But instead, you on your wish may have left your father's house, so I don't think you are eligible for OBC non creamy layer because of your mother. You may cheat with the facts to the Tehsildar for such certificate at your own risk. But no right thinking will advise you such.
It is the Tehasildar that has to consider those guidelines and decide as to whether such applicant is eligible for NCL or not. Approaching for certificate and informing facts as per application is not improper.