Fast charge is typically used as short-hand for DC Fast Charging which is when the charger is outside the vehicle and provides DC power directly to the battery. It ranges from ~20kW to 350kW. Anything coming from single-phase AC power is not fast charging is very benign for the battery.
Typically DC fast charging("Level 3") starts at ~50kW rate.
The ~20kW rate you mentioned is considered "Level 2". This is possible on single-phase A/C circuits (i.e. a Tesla HPWC on a 240V/100A circuit).