December 01, 2020 00:51 Updated Follow Yes. A person can be eligible for both Medicaid and Medicare and receive benefits from both programs at the same time. Related articles What are the asset/resource limits for the Family Caregiver Program? How does someone qualify for Indiana Health Coverage Programs? How can I get help paying for my prescriptions? How does someone spend Supplemental Nutrition Assistance Program benefits? How does someone apply for the Community and Home Options to Institutional Care for the Elderly and Disabled program?