September 29, 2020 21:46 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 apply for the Community and Home Options to Institutional Care for the Elderly and Disabled program? How can I get help paying for my prescriptions? How does someone qualify for Indiana Health Coverage Programs? How does someone spend Supplemental Nutrition Assistance Program benefits?