It's apparently not unusual for the deadline to be missed - writing a comprehensive witness statement that contains everything that's relevant to the case can be a bunch of work. What normally happens is that one side asks the other for an extension and they agree. If that doesn't happen, it's possible to ask the court to extend the deadline instead. If the court agrees, and if it appears that the refusal of the other side to agree was unreasonable, you can get costs for that application.