Trust can be destroyed yes, and it can be built again, but it really depends on the nature of the betrayal. If your parent lied to you about Santa being real you might not trust them for a few years but eventually if their behavior is consistent in most areas then you trust them again. If your wife cheats on you with your best friend you'll probably never trust her again.

Then again maybe I'm wrong and you'd never trust your parent again and would forgive your wife. This is the unpredictability of reactions to betrayal.