No. Higurashi consists of eight arcs. Six were covered in the first season (although a massive amount of detail was cut out, like Rena getting raped, and Keiichi's fucked-up past with the little girls). The second season makes up a new arc, and covers the last two original arcs. The problem is... they managed to fuck it all up.
The big final ultimate twist scene from the original visual novel for example, was really emotional and moving. The anime version of it is shithouse. Completely shithouse. The worst part is, they removed You, the background track that made the original so incredible.http://www.youtube.com/watch?v=559n_OOGA0M
THIS. The lack of this made the anime suck.