No, for wheel speed sensor failure, it would light on the ABS indicator only or ABS light with the handbrake indicator.
it depends on the error code, but the root cause might be the same.
ex:
error code 11 = Circuit failure of RF ABS wheelspeed sensor
error code 41 = RF ABS wheelspeed sensor and/or sensor rotor malfunction
error code 45 = RF ABS wheelspeed sensor input signal missing
in these all cases probably it is the RF wheelspeed sensor that we have to clean or replace (if it is 45 , just cleaning the sensor will not help, it might be a bad sensor or or problem in the wire connection).