The fastest speed an astronaut has achieved is 11 km/s, which means a trip to Mars would be >2 months at minimum
What we need is an engine that combines the fuel burn rate of a rocket engine with the exhaust velocity of an ion thruster:
Thrust (Newtons) = Fuel burn rate (kg/s) x exhaust velocity (m/s)
Yet another compromise to use human proxies for exploration instead of Ai robots