No, the defining feature of capitalism-as-a-system (as opposed to capitalism-as-a-feature of systems including those which predate capitalism-as-system) is the set and preeminence of property rights, which are very different under fascism, because fascist corporatism subordinates all interests (not least of all property interest) to central authority.

Fascist corporatism is as radically opposed to capitalism as Leninist “democratic centralism” is (and, arguably, despite the opposing rhetorical stance, in very much the same substantive direction in practice.)

So where are your definition of capitalism and fascism from? Because seems to me you just made up your own definitions. To me your definition of fascism resembles much more a difinition of general authoritarianism or totalitarianism.