Viewing someone's close friends list on Instagram, or any other form of unauthorized access to private information, is a violation of their privacy and goes against the terms of service of the platform. Instagram has privacy measures in place to protect users' information, and attempting to bypass these measures is not only unethical but also against the law in many jurisdictions.
Respecting the privacy of others is crucial, both online and offline. If you're interested in getting to know someone better or becoming close friends, the best approach is to interact with them genuinely, build a rapport, and let the friendship develop naturally over time. Trust and consent are essential in any relationship, including those formed through social media platforms.