If u ask me if its still possible for a country to be neutral, I would say Yes. why? because its possible for a country to exist without even have any contact or get influenced by the rest of the world hence becoming totally independent of international community. But the thing is its tough task to do considering the psychology of people living in that nation.
Human beings have a tendency to make more money, there fore they tend to do business/trade with others. At one level this trade will go beyond the boundaries of nation thereby forcing that nation to interact with another nation so on so forth. The end product is, countries get interconnected to a level where the politicians starts to make foreign policies accordingly.
However, for a growing economy and influential power like India, its a tough feat to do, and I dont believe the NAM policy is still breathing!!