You can only do this if you do your updates through a form, as opposed to
directly in the table.
Add a LastUpdated Date field to your table. Add a text box on your form
that's bound to that field. (There's no need to make the text box visible).
In your form's BeforeUpdate event, set the value of the text box equal to
Date() if all you want is the update date, or Now() if you want both date
and time.