Hi, since any category hasn't been specified, I will assume it to be general category. Assuming that, firstly, you should know that in order to get in Heritage college, the AIR required ranged from 30,427 to 2,56,153 in 2019.

Now, you can use the following link in order to find out your rank-

Using this, since you got a predicted rank of around 3,96,568 - 4,66,718, it will be a difficult for you to get into the college.

But, since NEET ranks must have been released, can you please specify your marks if possible? Then we can exactly figure out if you have a chance or not!

Hope this helped!