Yes, but once you initiate the 24-hour viewing period by starting to play a movie, it is inflexible. You can only continue to view the movie until the 24-hour period expires.
If you would like to finish the movie after this time, you may opt to extend the rental at a reduced price (Discounted Extended Rental) or buy the movie and store it permanently on your box.
Extended rentals are only 99 cents for standard definition titles and $1.99 for high definition titles.
Note: Certain titles (including adult) are not eligible for extended rental.