Well, that would require a heavily Hindu region in Pakistan, and that doesn't exist.

Jammu and Kashmir is about 67% Muslim, and the Kashmir division is 97% (Jammu is 65% Hindu, and the other division, Ladakh, is split basically evenly between Muslims and Buddhists).

As you may know, the various princely states on the subcontinent were given a choice when the region was granted independence - they could join Pakistan or India, or remain independent. Three chose to remain independent.

Sikkim, a tiny state in the Himalayas, was an Indian protectorate until 1975, when it's Prime Minister asked to join India, the Indian army came in, a referendum was held, and it joined the union.

Hyderabad, the largest of princely states (214,190 km^2, 16.34 million people) was swiftly invaded and annexed by India (It's very interesting to imagine what another independent state in the subcontinent would have been like, I must say)

Jammu and Kashmir's (Hindu) Maharaja decided on independence (at least temporarily) but, faced with a rebellion by Muslims in his state, and invasion by Pashtun tribesmen from Pakistan, he agreed to Indian annexation so that India could legally intervene. They did so, as did Pakistan, in what was the First Kashmir war. The resulting UN-mandated ceasefire said that a plebiscite should be held on whether to join India or Pakistan, after Pakistan removed "tribesmen and Pakistani nationals not normally resident therein who have entered the state for the purpose of fighting" and India had reduced its forces to a minimum. However, Pakistan never fully withdrew its troops, so India refused to hold a plebiscite. Pakistan proposed a simultaneous withdrawal (and the UN came to support that route) but India refused. So, no plebiscite has been held, bits of Kashmir that Pakistan occupied during that and later wars are functionally part of Pakistan, and the rest of the state is run by India and has rebel and terrorist groups that want to force the Indian government to give the territory up to Pakistan.

So, in India's case, you have a partly-occupied majority-Muslim state that never got to properly choose which country to join.

Does Pakistan have anything similar? Well, no, not at all.

Only 1.6% of Pakistan's population is Hindu (that's even lower than the Christian population). This was higher before partition, but the mass migrations meant most Hindus left Pakistan (that was harder to do for Muslims in India, since they were, and are spread more widely across the country and much of India is further away from the border than even the furthest reaches of Pakistan are). Even the most Hindu province, Sindh, is only 8.5 % Hindu. So, basically, there's no where that could reasonably want to join India.