I'm copy/pasting this from another question I answered (http://www.avvo.com/legal-answers/car-accident-with-no-liability-insurance---but-i-m-918869.html):
In Oregon, the law says that if you are injured in a car accident, but don't have insurance, you can recover economic damages (like medical costs and lost wages) but you are not eligible to receive non-economic damages (like pain and suffering). If you were injured, consider contacting an Oregon personal injury attorney, but be aware that since you were breaking the law (insurance is required) you may have a harder time finding an attorney unless your injuries are serious. o
Call a local personal injury lawyer in your State. Different States have different rules pertaining to No-fault benefits when not insured. Be sure you are getting the information from a lawyer in your State.
You should consult an attorney in your State at once. Visit our webpage at http://www.schnitzerlaw.net
Mr. DuBois is on point here. It is worth speaking with an attorney to get your medical bills covered, particularly if they are substantial. Again, it may be difficult finding an attorney due to the "non-economic cap" placed upon your damages.
This comment is made as general information and is in no way to be considered legal advice. Attorney's making such comments have no information beyond the information provided in the question presented. Additional information is necessary before an attorney can give specific advice. Please seek legal counsel.
I agree with the other answers. Please also consider whether you can qualify for pain and suffering based on the exceptions to the general rule of "no recovery if driving uninsured."