Yes, however you also need to run the car without springs. If the driving surface is sufficiently smooth and the geometry of the remaining components is tuned this set-up will not cause any problems. The car will essentially be a large go-kart.front shock absorber for bike

The next option is sometimes used in large earth moving equipment: use tall cross section tires to replace the function of the spring/damper setup. The inertial mass of the tire deformation acts as the damper, while the air pressure acts as the spring.

The spring/damper acting on a mass is a form of PID (motion) control. You could really use any number of active and passive methods to create the same result using gas/fluids, motors and magnets.