No, the Institute of Chartered Accountants of India (ICAI) does not issue traditional migration/transfer certificates to CA final passed-out students. These certificates are typically used for students transferring between universities within the same education system. ICAI can provide a Certificate of Membership (COP) upon request. This certificate serves as proof of your qualification as a Chartered Accountant and can be used for further studies at other universities.

https://finance.careers360.com/download/ebooks/certificate-courses-offered-icai-list-of-courses-fees-details

I hope it helps !