University College of Medical Sciences, University of Delhi Admission Process

No, without taking an entrance exam, you might not be eligible for admission to the University College of Medical Sciences.
The University College of Medical Sciences is affiliated with Delhi University and is recognized by the Medical Council of India (MCI).
Accordingly, you will be required to give some kind of national-level entrance exam to get admission into this college. For instance, you would be required to give NEET for MBBS, NEET-PG for MD and MS, and NEMT for MS courses.
Similarly, you will need to give the college entrance exams for some other courses like the B.Sc. in Medical Technology (Radiography) and M.Sc. in Medical Imaging Technology (Radiography) courses.
In addition, you will be required to fulfill a basic eligibility criterion.
Like for BSc, you should have passed 12th grade with a minimum of 60% marks in the science stream, and for MSc, you must have passed a bachelor's degree in sciences in medical technology (radiography) and medicine from any recognized university.