Sorry, no.
I principally support your request, but highlighting the whole Block is not what the ESC key is supposed to do.
On Windows the combination Ctrl + a highlights the whole block. I suppose it also works on Mac OS.
Another way to achieve what you want is to press Ctrl + arrow down for jumping directly to the end of page.
The problem with it is, that it only works if the cursor is somewhere in the text (writing mode active).
This is often not the case, for example after closing the search box inside the Page.
I’ve already made a request to change this behavior, so that Ctrl + down always works:
The developers have it already on their issue tracker.