No, the fastest charging cars on the road today are CCS cars and so far none of them can make full use of a 350 kW CCS charging station.
The Porsche Taycan and the Audi e-tron GT have peak charging speeds of 270 kW. The Lucid Air is supposed to have a peak charge rate above 300 kW. The Audi e-tron charges at 150 kW but its charging curve is flat to 80% so it ends up being one of the fastest charging EVs. The Hyundai Ioniq 5 and Kia EV6 peak at around 225 kW and stay above 130 kW to reach 80% state of charge in 18 minutes.
Non-tesla charging stations are even worse, and become buggy when trying to charge the mach E at the rate the vehicle attempts.