Not really. Power (watts) is voltage x current, so you can get more power by increasing the voltage or the current (or both). You can pull more current by simply fitting a more powerful motor (or motors) and using exactly the same battery. Or you can use a battery with a higher voltage to provide more power at the same current.
One of the fastest electric hypercars is the Aspark Owl - this produces close to 2000 bhp and does 0-60 in 1.69 secs, with a top speed of almost 250 mph. But it only has a 64 kWh battery (giving a claimed range of 280 miles).
CAR magazine UK lists the fastest electric cars of 2025.
www.carmagazine.co.uk