No. Proton VPN is based in Switzerland, which has some of the strongest data privacy laws in the world. Proton VPN is subject only to Swiss laws.
Switzerland has among the strongest data privacy laws in the world and has no affiliation with the Five Eyes or Fourteen Eyes spying alliances, and will protect your browsing activity from Australian surveillance laws such as the Surveillance Legislation Amendment Bill. The only laws that apply to Proton VPN are Swiss laws.