In most states to qualify for that you have to be very poorly paid. And in many states, like Georgia for instance, Medicaid covers needy children, pregnant women, parents/caretakers, elderly, disabled and blind residents and people in need of nursing home care.
Unfortunately the people who are most impacted by this are the people who are least able to afford the move to another state. Especially when nearly every state in the south decided not to expand medicaid.
Good luck if you fall outside of that list.