Ciao, We last visited Cinque Terre in April and the trail n.2 (the one close to the coast) was blocked between Manarola and Corniglia.
They told us there had been a major landslide during the winter, and that it would have required some time to restore the path.
We decided to go around the interrupted path, doing trail n.1, which requires a lot of climbing but it's really beutiful.
Looking on the Cinque Terre Park official website (they have a page with the current conditions of the trail ) it would seem that the trail n.2 is still interrupted (red dot).
Have a great time if you go there, Cinque Terre is a great place!