no, the handbrake light comes on when the low wear indicator wire is reached. it is not related to the ABS system.
you either have a sensor fault (one on each wheel) or a wiring fault, or an abs controller fault. almost always a sensor fault unless one of the ABS wires has been caught by something.
getting the front struts off without damaging a sensor is very hard, so if you've had new shocks or springs or any other work that required a front strut to be removed that is a very likely cause.