Yes - that solution is part of the Production Mapping (formerly called PLTS) extension.
Otherwise, when you add any table to a layout you are simply converting its current content and appearance into a picture.
There is no dynamic link maintained.
There is a possible workaround in @RyanDalton's Answer to Displaying dynamic table in Data Driven Pages environment? but is not easy to implement and has some limitations.
My answer to the same question presents what I believe to be a superior solution, still not easy to implement, that needs only core ArcGIS Pro functionality with a Basic level license.