Not really. Government has the monopoly on power. Remove that and it'll become a private totally unaccountable monopoly on power.Ur premise that there could be no property without government is misguided.
You can change governments, you cant change private ownership.
Government acts as the mafia.. you pay the govt protection money for protection against the govt
Govt protects you from private individuals. For instance, in theory, govt regulation should stop toxic waste dumping in residential areas. If this was left up to private ownership they wouldn't give two fucks.
This is why right wing libertarianism is stupid and is actually just a bootlicking ideology to hand over total power to unaccountable private ownership. Seriously look into the history of this movement. Its fully bankrolled by fortune 500 companies and elitists. Before this, libertarian meant anarchist and socialist.