Yes, it is 100% possible and it is required to get an individual health insurance policy by yourself because most of the time the corporate health insurance policy is inadequate if you're not a part of the senior management. In such a case, getting a separate health insurance policy will make more sense. Also, do remember that the corporate health insurance premium is a part of your CTC. However, you cannot claim it for any income tax benefits. But if it is your own health insurance policy, then yes, you can claim deduction under section 80D and save up to 7,800 rupees in taxes just for yourself and family.