at any point
You can use the word "point" to talk about time. In the example above, "at any point" means "at any time". The word "point" is used to mean "time" in situations where:
- The time is a specific, exact event. It's not a continuing situation.
- The event happens within a longer length of time. In the example at top, the period of time is during the presentation.
Here's an example. You're talking about watching a movie that wasn't very interesting:
At one point, I thought I was going to go to sleep.
In this example, the specific event is "I thought I was going to..." and the longer period of time was the length of the movie.