Not quite. I mean that it has rules of behaviour, it hires people to enforce those rules, it has strategic objectives and engages in world events, and is an economic force just above the middle of the IMF 2018 list, roughly equivalent to Slovenia (assuming GDP ~= revenue), or North Dakota if prefer to compare against a state of the USA.

Facebook is not a nation, despite all that, but not all government are national governments and I think it counts as a kind of government.