If your car was hit in a parking lot while you were in the store is the parking lot owner liable in any way for your deductible?

Unfortunately not. The owner assumes no legal responsibility for what happens in the parking lot. You'll be responsible for the deductable, which is why we have insrurance; otherwise, the cost to fix your vehicle might be much more. You can check to see if maybe there's surveillance footage that might show what kind of car hit you. Particularly good cameras can often catch license plates. No. In a hit and run situation, you should file a police report. Unfortunately, unless the other car is found, your insurance company will have to cover the damamges.