If I was injured in a Washington car accident, but do not have insurance, can I still sue and recover for my injuries?

Well, it depends. It depends on what the facts and circumstances of your case were. If someone caused your injury, you didn’t cause your injury, and they were at fault, yes, you can sue. It doesn’t matter that you didn’t have insurance. Down the road, it may make things more difficult for you, but you still have a claim, because it’s their negligence, not yours, that matters in this case.