No, you should never touch a car battery with a wrench or any other metal object. The terminals of a car battery are live and can deliver a powerful electric shock. If you accidentally touch a terminal with a metal object, the current will flow through the object and into your body, potentially causing serious injury or even death.
Always disconnect the negative terminal of the battery before performing any work on a car's electrical system, and use insulated tools when handling battery terminals. Never touch both terminals of the battery at the same time, as this can also create a short circuit and cause an electric shock.
