Answer
Yes. If you have no income or income below the established threshold, you may access free public healthcare through ASSE. This free enrolment is available to residents and families whose combined income does not exceed the limit.
ASSE provides public medical care in the free category without charges for referrals or individual copayments. If income is above the threshold, enrolment with ASSE is still possible, but on a paid basis; the key factor is therefore the household’s financial situation, not simply the fact of relocation.
In practice, place of residence matters because the available clinics and hospitals vary by region. A person with no current income can treat ASSE as a basic healthcare option, but should establish in advance which institution they can register with at their address.