You could still have a claim if your health insurance paid for your medical
bills after an accident. An injury claim could be used to pursue the damages
that have not been paid or covered, like lost wages and those associated
with pain and suffering. Importantly, you can’t collect damages
that have already been covered, though. For example, if your healthcare
insurance covered $10,000 worth of treatment costs, then you couldn’t
get another $10,000 through a claim to pay for those exact same treatment costs.