Although they are often difficult, such third-party claims can succeed. You would have to present convincing evidence that this was indeed the cause of your crash and injuries.
Injuries stemming from improper maintenance or repair of roads and highways may be the fault of the state, county or town responsible for the road. In those cases there are special deadlines to file a Notice of Claim against the responsible government entity. Sometimes a private construction company that worked on the road is at fault. You should expect these two parties to blame each other if you seek damages. It most likely would require an investigation by some individual or organization experienced with third-party car accident liability to sort the evidence and successfully pursue this claim on your behalf.