Not yet. Do you remember India was invited to join NATO? Their leaders are smart and want to maintain peace and stability.
No, I don't. Because India wasn't invited to join NATO.
What happened was that the US Congressional Committee on the Chinese Communist Party released a report in 2023 that said India should be invited to be a member of the
NATO Plus states. A member of NATO Plus is not a formal member of the NATO alliance
**.
The committee then reiterated this in a set of policy recommendations (about Taiwan/China, not India) released a month ahead of Modhi's June 2023 visit to the US.
The report and subsequent policy recommendation got lots of attention in Chinese and Indian news media. Which led to lots of ill-informed journalists asking dumb questions like "Is India going to join NATO?".
To which various Indian politicians replied "India capable of countering Chinese aggression" and "the NATO template does not apply to India". Which is understandable, as both those things are (at least somewhat) true. But the answers were inadvertently misleading, as it made it appear that India had been invited to join NATO.
**NATO Plus is a loose security arrangement, mostly involving information sharing and efforts towards equipment standardisation. Current participating members are Australia, New Zealand, South Korea, Israel and Israel. NATO also has partnerships with Morocco, Pakistan, Iraq and a couple other states that I can't recall at the moment.