As with all appliances, it is possible to repair LG appliances. However, whether or not your specific LG appliance is repairable depends entirely on the extent and severity of the problem it is experiencing. Some types of damage or wear are simply beyond repair.
If your LG appliance is no longer working, first consult its owner's manual. You may be able to identify and fix the problem yourself. If you need a replacement part, you may be able to find one online. If you are unable to identify or fix the problem yourself, call a professional service person in your area to examine your LG appliance.