Some are fed with 230v mains and have the charger in the car.
That is pretty much standard, now the charger in the car can vary between models in, for instance whether or not it can make use of three phases or just one, but as far as I know, its present in all normal EVs (we will exclude things like milk floats and road sweepers here! - normal EVs, like you can go to a showroom and buy to carry your family around in)
The charger on board (or BCB - Battery charging bock as its sometimes termed), will only pull what the supply equipment tells it that it is allowed to (theres a PWM waveform that varies in duty cycle), how much it can charge the batteries with that does depend on state of charge, temperature, etc, and it might decide to pull less than the maximum its allowed, no problem with that, it just won't pull more and I wouldn't be supprised if presented with a car that disobeyed the rules, the EVSE would cut it off
Others are fed directly with the DC charging voltage from the home based charger.
Many vehicles have the ability to accept DC charging as well, but this generally will not be from a home charger, thats mode 4 charging and generally found on the service station chargers and they start from about 40kw go upto the hundreds of kws, by which time the charger itself is in a cubicle about the size of a package sub...
You can have one of the smaller mode 4 DC chargers at home if you have a three phase supply and the spare capacity, however it'll not be cheap
https://www.voltaev.co.uk/collections/commercial-ev-chargers/products/evd40s-p-tethered-40kw-32a-dc