Company troubling for serving Notice Period

I resigned on 24th May from my current company. They have 2 months notice period. I asked them to reduce it to a month since I’m not in a good place mentally. My grandma (who’s like a parent to me) is really v. sick, she’s lying on her deathbed. So I want to shift back to my hometown and take care of her. I want to go asap. They didn’t hear me at all. And this job has given me so much stress, from past 4-5 days my bp got low, I had high fever. I sent them doctor’s slip. Even then this HR is saying you’ve to abide by the policy. And honestly I hate working here, since they have a tool based environment, that is not getting to my head. So now I’ve decided to not work at all. Since my health is also not that good. Is there any other way they can agree to reduce the notice period? Since I’m really tired of this. Also, I hope not working won’t do any harm.