Sites can be made in C2, nevertheless this post and this post kindly warn that that's not C2's main purpose.
Also you should be aware that a site only made as a C2 app will have low SEO rankings. This might end up as an issue and is one of the reason it is not advised to use C2 for making website.
Find more reasons here and here.
Nevertheless in the end you are the decision maker and your website can very well turn those disavantages as strength. It all depends on what you're looking for and your target audience.
I admit I like the effect on amilton's site, the "opening gates" is pretty cool, but is quite a lot of download in the end for "not much".
Also, as I don't speak portuguese (I think it's brazilian portuguese, right ?) the content of the site itself is obscur to me ^^