Not at all, the left often tends towards fascism when you add nationalism to the picture.

"a way of organizing a society in which a government ruled by a dictator controls the lives of the people and in which people are not allowed to disagree with the government"

While it is often described as "right-wing" It generally depends on your definition of right-wing to be able to suss that out.

FDR (Franklin Roosevelt) is a great example of a left-wing facist. many "New Deal" programs were extremely controlling (minimum wage, price fixing see National Recovery Act, much much more.) For instance:  On December 19, 1941 President Franklin Roosevelt signed Executive Order 8985, which established the Office of Censorship and conferred on its director the power to censor international communications in "his absolute discretion."