A damaged brake booster can make your brake pedal challenging to engage or feel spongy, making it less effective. It might be even lead to a complete shutdown of your brake system if not handled on time. So if you are asking if will a bad brake booster cause brakes to lock up, then your answer is YES.
Why are my brakes spongy all of a sudden?
Air in the brake line(s) is the most common cause of a soft/spongy brake pedal. If air gets into the brake lines, it can prevent brake fluid from flowing properly, causing the brake pedal to feel spongy or soft. If the brakes are soft or spongy, this is a good time to change or flush the brake fluid.
How do you know if the master cylinder or the booster is bad?
Can old brake fluid cause spongy brakes?
Then it could be that old brake fluid is causing the poor brake performance. Or, you could have a possible leak causing your fluid to be low. Either way, get it checked out! This is one of the most common causes of spongy brakes.
Related Question Can a bad brake booster cause spongy brakes?
Do brake boosters go bad?
Sometimes a brake booster will fail gradually, making the decline in performance harder to notice. If you feel like you must brake earlier than you should to come to a stop, have the brakes checked. If the pads and rotors look good, the cause could be the brake booster.
What is likely the problem if the brake pedal feels springy when you apply the brake?
What is likely the problem if the brake pedal feels springy when you apply the brake? If there is a leak, the pedal will go down slowly (the brake fluid is pushed out). Air in the brake system makes the pedal feel springy, since the air moves around the system unpredictably.