Can interactions happen at less than the Planck Time?

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I was watching this PBS Spacetime video, and something they said bugged me. They said that some subatomic interactions are occurring at time scales less than the Planck Time. And thus, this would also mean that these things are happening at scales less than the Planck Length as well. My understanding had been until now that Planck Length and Time are the cut-off lengths for interactions. What should I believe?

Here's the video that I was watching, and the statement occurs at 6:36 of the video:

 
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