If I returned my car because it was a lemon, will I get a refund on my insurance policy?

I just dropped the policy today. Do I get refunded since the policy was only a few days old?

Each company is a bit different in how they refund policies. However, since your vehicle was returned, you might be eligible for a full refund if you submit some sort of proof to the insurance company that your vehicle was defective. You will ultimately have to work with your insurance company as I can't say with any certainty what the outcome might be.