Will a dead battery recharge itself?

No, it will not. If it's not a rechargeable battery, your only choice will be to throw it out and get a new one. If it's rechargeable, you'll need to connect it to a charger. If it's only low and not dead yet, there are ways to conserve battery so it will last longer. But if it's completely dead there's nothing you can do except find a charger.