ATV Parts and Accessories

I want to charge a 12V battery using an AC to DC adapter. Do I need to have some sort of charger controller?
It’s a 12V battery, same as the ones used in childrens’ toy cars, ATVs, etc. I’m installing a battery in a machine at my shop that’s used to evacuate fluids. We usually have to clamp the machine Charger ATV to a car battery to power the pump in the machine. It doesn’t need that big of a battery to work. The machine uses 12V, 4A. I don’t know much about charging circuits, but I’ve read that you can just connect an AC to DC adapter and it will only charge at whatever rate that the adapter will output and when the battery is full, it will simply stop pulling current from the adapter. 1) If the battery was drained, could it attempt to draw more current than the adapter can handle and cause the adapter to burn out? 2) Is it true that it will simply stop pulling current once the battery is charged?
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