No, it's not. The words explain themselves perfectly fine: an opposing culture.
What you describe boils down to being irrationally angry, stunted in various ways, and generally destructive... It's not a counter-culture but just counter-productive and essentially a defect. If anything, it is devoid of culture.
And just in case someone takes "counter-productive" and tries to argue that being against trying to make everything productive is counter-culture: that's not what I mean and you know it. If you were to find yourself not aligning with anything out in the world and you wish to alter that, there are a whole lot of things you could be doing to get there, but what people do on 4chan gets nobody anywhere, unless the digital version of sniffing glue is considered an alteration of the status-quo.