No. There are very distinct differences between anarchy and freedom.
Taken straight from Google;
an·ar·chy
ˈanərkē
noun
- a state of disorder due to absence or nonrecognition of authority.
"he must ensure public order in a country threatened with anarchy"
synonyms: lawlessness, nihilism, mobocracy, revolution, insurrection, disorder, chaos, mayhem, tumult, turmoil
"conditions are dangerously ripe for anarchy"
- absence of government and absolute freedom of the individual, regarded as a political ideal.
Notice where it says "absolute freedom". The operative word here is ABSOLUTE. The freedoms provided by the Constitution of the United States of America (as an example) dictates that the "freedoms" of one person STOP where the freedoms of the next person BEGINS. There are reasons why things like slander are against the law. In an environment of ABSOLUTE freedom, none of this matters. I can say whatever I want, do whatever I want, against other people without any concerns or fears about the repercussions of what I've said or done to another person. There are a variety of reasons why freedoms are restricted to certain degrees - controlled, if you will - because there is a LINE that you DO NOT CROSS. A line which anarchy does not provide nor recognize. That in itself is the biggest argument against anarchy as a political ideal and that is one of the biggest reasons why it does not work. It could work in a utopia where people don't treat each other like garbage for the dumbest and most petty reasons - but that is not our world, at least not yet.