Yes, you can apply for both as you are eligible for Delhi and UP. After you have appeared for NEET and cleared the same, wait till the Directorate of Medical Education and Training (DMET), Uttar Pradesh, releases the application form for State Quota admissions in Uttar Pradesh. As per the Uttar Pradesh eligibility criteria set by the DMET, you will be required to produce an ‘Original Resident Certificate’ in the format given in the UP NEET Prospectus when applying for admissions since you have not been residing in UP but are still a domicile of the state. Also submit an address located in Uttar Pradesh and produce your Original Resident Certificate confirming this address at the time of document verification. So it is advisable to apply for NEET and clear it with required score and apply for both the states.

Good Luck!!!