No it bloody isn't.

All this riot and uproar, V ... Is this anarchy?
Is this the Land of Do-as-you-please?

No. This is only the Land of Take-what-you-want.
Anarchy means "without leaders"; not "without order".
...
This is not anarchy, Eve. This is Chaos.

V for Vendetta - Alan Moore/David Lloyd

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No, anarchy does not look like that. Anarchy as an ideal means complete individual freedom. It emphatically does not mean lawlessness and violence and property damage because that always infringes someone else's individual freedom.

What you're seeing there is just what chaos looks like. The two may be lumped together a lot but actually they're not the same thing at all.