Yes, you may still be eligible for compensation even if the drunk driver was uninsured. Your attorney can explore alternative options such as filing a claim under your own insurance policy if you have uninsured motorist coverage. They may also investigate other potential sources of compensation, such as third-party liability or a dram shop claim if alcohol was served to an obviously intoxicated person. It's important to discuss these options with your attorney to understand the best course of action for your situation.