No, whether you are a tenant or an owner, no Resident Welfare Association (RWA) or Managing Committee of a co-operative society, can ban you from owning a pet, irrespective of the breed, size, or number. Even by majority, they cannot frame any rules, by-laws, or regulations that are against keeping pets.
Your society members, residents, homeowners, or associations cannot demand you to vacate your residence or abandon your pet. Neither can you be harassed, nor restricted from keeping pets for reasons such as defecation or barking (which is recognized even by the AWBI guidelines as a natural form of expression).
Your right to live with companion animals is guaranteed under Article 51A(g) and Article 21 of the Constitution of India. As long as you are not violating any municipal laws, no one can object to you having pets.
Moreover, please note that abandoning your pet is a violation of the law and those intimidating you to do so will be abetting a violation of the law. Intimidation is an offence in law, for which you may file a complaint at the relevant police station.