No, you cannot use the dishwasher if the water is turned off to your kitchen faucet. Dishwashers require a steady supply of water to function properly. When you start a dishwasher cycle, it relies on the incoming water to wash and rinse the dishes, as well as to fill the dishwasher's tub and spray arms.
If the water supply to your kitchen faucet is turned off, there won't be any water available for the dishwasher to use. Attempting to run the dishwasher without water could lead to damage to the appliance and won't effectively clean your dishes.
If you need to use the dishwasher, make sure the water supply to your kitchen faucet is turned on and functioning correctly. If you're experiencing water supply issues, it's essential to check your plumbing or contact a professional plumber to resolve the problem before using any appliances that require water.