No you cannot complete the Training Syllabus for Private Helicopter Pilot License without first meeting the medical fitness requirement.
Before you start any flying training, including the Training Syllabus for Private Helicopter Pilot License you must be medically fit. This means you need a DGCA Class 2 Medical Certificate from a certified aviation doctor. This medical test checks your vision, hearing, heart health and overall fitness to safely handle a helicopter in flight. You must have this certificate before you begin your flying lessons and ground training.
The Training Syllabus for Private Helicopter Pilot License includes both ground school and actual flying practice. Without clearing the medical check, the authorities will not allow you to fly or enroll in the course. This rule exists to protect not only your safety but also the safety of others who might be in the air or on the ground.
If you try to start your training without a valid medical certificate, you won't be allowed to fly. This means you cannot complete the training syllabus until you pass the medical exam. The DGCA (Directorate General of Civil Aviation) strictly enforces this rule.
Even after beginning training your medical certificate must stay valid throughout your course. If it expires you must renew it before continuing. This ensures that you remain fit to fly at every step of the Training Syllabus for Private Helicopter Pilot License.