Any attempt to create an IRL organization that could snowball into an actual nation would required to meet in meatspace. By default, it would face constant "goat dancing" to borrow from the late boomer nationalist Harold Covington about being a fed honeypot. This is not an insurmountable obstacle, but an inevitable and constant one to be aware of.
Next, you can't have a nation without a leader. There would have to be some form of identity within the nation. Even if you created a culture where everyone had to wear masks in public, that mask would still be your face and identity. Everyone would simply be starting over as a new person under a new nomme-de-guerre with a new artificial face. This is as anonymous as a culture could really ever be while being a coherent nation. Otherwise it would just be an atomized confederation of anarchists who live in the same colony and are able to completely discard honor and other social contract virtues that make nationhood possible.
But you probably don't mean an anonymous nation, you mean a regular nation for people of image board culture.
Not only is it possible, it is necessary for our survival.
Without a doubt, we will go extinct if we don't step up and save ourselves through our own efforts. We can't keep waiting for a savior to descend from on high. We have to become the savior, because we, as doomers – as millennials – are the grown ups now. With the boomers on the way out, we are the majority population, entering middle age of our 30s, and literally no one else exists who could step up to put the world right.
It probably won't look like a nation at first. It will probably look like a hundred small groups of anons banding together to survive increasingly difficult financial and politicial situations, living together in larger and larger numbers. Disbanding, reforming, moving closer and closer together to increase numbers for safety against the hostility of the wider world.
And then some black swan event will happen that catches everybody off guard and makes the whole powder keg go off. The user nation might lose the war, and will then go extinct either quickly or slowly but nevertheless inevitably. Or it will win the war and enforce its culture on the others.
But in the end, anons are going to be mixed together with NPCs. Hopefully it will be as their noble caste, using the NPCs as laborers and keeping them in their place and unable to speak to us as supposed equals.