Yes, it is possible for you to perform the nikah in India or UAE as a Muslim couple. The nikah is a religious ceremony and can be performed by an Islamic cleric or an authorized Muslim authority in the presence of witnesses. However, it is important to note that the nikah does not automatically confer legal recognition of the marriage under Indian or UAE law.
If you do not wish to register the marriage, then the nikah ceremony will serve as a religious recognition of the marriage. However, if you do wish to register the marriage, then you will need to comply with the registration requirements of the relevant country's law.
It is advisable to seek legal advice from a local lawyer in India or UAE who can advise you on the specific requirements and procedures for performing a nikah ceremony and registering the marriage, if desired.