Hi – that sounds like an interesting idea.
Yes I’m sure that’s possible – it is however a touch beyond what we can help you with here, however I see no reason why your link could not be dynamically generated and link to a suitable element ID (whether pinned to a table cell for a given day or the row for an entire week), something like this:
example.com/events/#tribe-events-daynum-8
The basic form of a snippet to make that link might be along the lines of:
$event_url = TribeEvents::instance()->getLink( 'month' );
$goto_today = trailingslashit( $event_url ) . '#tribe-events-daynum-' . date( 'j' );
echo '<a href="' . $goto_today . '">Today</a>';
That would require no particular trickery, but if you wanted to you could jazz things up with a suitable piece of Javascript to smoothly scroll the user down to that point and highlight the table cell or something of that order.
I hope that helps 🙂