As a result of my brakes sticking I rear-ended another car, and when I brought this issue up to the Toyota repair shop they indicated there were no brake issues based upon their checking it and no recalls or no known issues. This continues to happen periodically, are any others having this same breaking issue? When you press the brake pedal you feel a popping or clicking sensation and the car does not stop/break and you have to quickly press again to get the breaks to engage.

I took it to be serviced at the Toyota dealership and have the brakes serviced and continue to be told no issue, but this occasionally stills happens.