I do not know much about Vrindavan but yes, at a petrol pump, Junction Road, Sonkh Adda, Mathura there is a center where one can obtain an emission check certificate also known as Pollution Under Control (PUC) certificate.
If not, Hodal (Palwal), Haryana approx. 30 + km from Vrindavan on National Highway 2 on the left side (after crossing the Uttar Pradesh border) there is a petrol pump with 24 hours open Pollution Under Control Center.
I received an emission check certificate for the motorcycle at Hodal, Haryana. The journey continues…