No. It's a battery not a capacitor. And no, you won't do home charging at 100s of kilowatts. That's totally pointless. Fast charging is for road trips, when you want short charging breaks. If you could charge a 100 KWh battery at a continuous 350 KW, you'd be done in less than 20 minutes from 0 to full. 350 is about the maximum we can do today and i don't see that growing much higher. Those huge charging speeds being thrown around in these articles are not practically relevant.