Hope you want doing good in this current situation.

Let me get straight to the point that yes you can join other private medical colleges despite being a Delhi domicile candidate. Many colleges like Manipal Kalinga Institute of Medical Science and other top private medical college accept Neet score and direct admission. If you have any e particular college in mind you can directly visit their website.

You should definitely use a college predictor tool to know about your best chances in private medical colleges all over India. Here is the link