You can. I'm American/Pakistani (dual passport), with significant family who are in India (including my spouse and grandparents who are Indian citizens).

I went with my wife to Pakistan last year. I have plenty of Indian family who visit Pakistan regularly. It can take 6 months-ish to get a visa though and it is very annoying, so I would not blame you for not wanting to go through the process.

By the way, as an American I can't visit India. I used to visit pre-2007, but since the Mumbai attacks (and further strict restrictions imposed in 2011 onwards) they no longer allow me to apply on my American passport and I've been rejected every time I try on a Pakistani passport.

The animosity in that region is so unfortunate and I hope it ends in the future. I've seen countless families kept apart because of it.

Just go to the Waga gate, walk in backwards, and say you’re leaving.

On a more serious note, I was surprised to learn how little travel there is between two countries right next to each other.

Ha, as a teenager I found out a movie was playing in Indian theaters a few km across the border so I began planning on getting a visa to hop across for a few hours. I may as well have declared I was walking over to NK as someone from SK :)

Those areas are restricted for Indian nationals, like their side of Kashmir is for Pak nationals

If you want a similar terrain then head over to Srinagar, kargil and Leh in Indian controlled Kashmir.

How about Nepal?

No visa required