Yes, you can raise webform and mention that how long you will be in india, they will transfer COPR docs to India office, and will issue PPR letter for India, Under GCMS it possible for PR visa to stamp from anywhere in the world (this doesnt work for TRV) But processing and reply time are uncertain at this time. I recommend and advise you to complete your Process from NY office and go to India with your PR stamp and COPR and return directly to Canada, it will be more convenient.
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