For some values of dead. (math joke, mixed with a real answer). As in if the battery isn't damaged too much but the voltage is presently too low to start the car then yes plugging in a charger will start the car because you can just plug it in long enough (seconds or minutes) to get a surface charge and start the car while AC power from your wall source is still feeding the 12v system more than 13 volts.
also fwiw I now recommend using the Noco Genius 7.2 amp instead
Amazon.com: NOCO Genius G7200 12V/24V 7.2A UltraSafe Smart Battery Charger: NOCO: Automotive because it plays nice with lithium ion batteries and I expect at some point down the road you may find that aftermarket 12v batteries switch over and maybe Tesla does also. If so might as well get one that can charge lithium ion 12v safely and save having to buy a new one later.
You could wimp out and grab the
Amazon.com: NOCO Genius G3500 6V/12V 3.5A UltraSafe Smart Battery Charger: NOCO: Automotive 3.x amp version but I'd watch for the 7.2 amp to be on sale and grab it instead.