At the current capasity the webserver could probably not cope with this traffic but it is easy to spin up larger node or clusters of nodes to deal with this traffic. The more important question is can the block chain scale to this level and the anwser is yes; we can easily handle all of reddits existing triffic and still have more than 75% left to accomodate facebook and these number are only based upon 1000TPS and graphene has proven on public test networks to achieve a much higher rate than this already and basic nodes.