Only if they have no interest in a peaceful future. If the two nations ever want to get past the bitterness and mistrust they share of each other, then the opposite of a social boycott must take place, and as many cultural and social exchanges as possible should be explored. Only then will more understanding and less violence be a real possibility, and both countries could use that kind of a future.
I actually think this is a very powerful question. The reality is that there has been a 50 year post- Partition (and, perhaps longer if you go back farther) mistrust between both nations. This is inescapable. However, as India seeks to elevate itself to a player on the economic world stage, I think the issue does bring itself to the surface. If India does socially boycott Pakistan, which I assume will mean that they will repudiate diplomatic relationships, it is difficult to see that this will reduce tensions between both nations. If anything, it might antagonise tensions between both nations. Should India wish to enhance its role on the world stage as an economic force, then it seems that they have to have the diplomatic courage to open dialogues with nations like Pakistan in order to open more markets and create a ground that will be able to enhance greater economic prosperity.
Opening as many dialogues as possible, whether it is between nations on here on e- notes, greater understanding results.
No, India should not boycott Pakistan, either socially or in any other way. India and Pakistan are two neighboring countries, and it is in the interest of both the countries to live peacefully together and cooperate with each other.
Of course, there are historical reasons, and the issue of Kashmir, that tend to promote ill feeling towards each other. But none of these can issues justify enmity between people of two countries for ever. As a matter of fact, today the common people in both the countries are much less interested in keeping the conflict alive. It is the politicians, that carved out two separate nations out of united India for achieving their personal ambitions, and who continue to stoke the fire of ill will between people of two countries for the same selfish reasons.
Hopefully, it appears, people have begun to see through these games of politicians, and today are much less willing to play into their hands.