No, fascism is the integration of economic (corporate) and government power.
Which is exactly what happens in the libertarian dream state. What happens when education, infrastructure development and upkeep, all phases of law and order (everything from citations to trials to executions), lawmaking, and even war are all functions of corporations? You end up stuck with extreme power concentration, held by people who can never be removed from power - which is of course fascism.
Keep these separate, as is probably Point #1 of Libertarians, and you don't have a problem.
Maybe in some other country the libertarians want to keep the powers of corporations and governments separate. Here they want them together more than anything.