> Can this program keep track of website that has a daily 
> news page that changes everyday and allow me to browse it 
4 
> days later of each day it downloaded.

Well, it depends on the website structure.
Generally the solution is to use filters (scan rules).
Example: if the site is www.yoursite.com and each daly page 
is www.yoursite.com/news.php?day=1 for the first day, 
www.yoursite.com/news.php?day=2 for the previous day, and 
so on.. :

-* +www.yoursite.com/news.php?day=*[1234] +*.gif +*.jpg 
+*.png +*.css +*.js

Of course this is only an example ; but generally you can 
find the correct URL(s) to grab and make the corresponding 
filter