Can the need for an alignment cause a car's brake warning lights to NOT go off when they should be?

The brake lights are usually operated from an operating switch off the brake mechanism. It is most often a switch on or near the pedal, though a number of variations are also found. The switch has some kind of adjustment so that it will be activated and deactivated at the "right" time when the pedal is depressed and released. When the pedal is pushed down, the brake light circuit is powered up (through the turn signals, of course). When the brake pedal is released, the switch is opened and the brake lights should go off.

If the brake lights do not go off, it has nothing to do with the wheels or any alignment issues. This is an electrical problem, and it centers on the operating switch and associated circuits. Remember that the brake lights are not an "isolated circuit" but work through the turn signals and flashers. Look at the brake light switch and how it is set up and adjusted. If this is all good, then look through the rest of the electrical system for the cause of the problem.