You mean like a right to life, a right to a private and family life, a right to freedom of expression, a right to a fair trial, a right to a 1gb broadband pipe... ?
I don't think it can ever be a human right. Water isn't a human right yet it is far more essential than access to the internet.
Internet access is a commercial provision, not a fundamental right. You might be able to access fundamental rights using the internet such as our using YACF for our freedom of association and freedom of expression, but, and crucially, the internet is simply a vehicle, not the manifestation of the rights themselves.