Read 3 comments in conversation as:
https://timesofindia.indiatimes.com/business/india-business/india-australia-free-trade-agreement-passed-says-piyush-goyal/articleshow/95685031.cms

Text: https://commerce.gov.in/international-trade/trade-agreements/ind-aus-ecta/

Annex 8C: Professional Services
https://commerce.gov.in/wp-content/uploads/2022/06/08C-Annex-8C-Professional-Services.pdf

"regulated or licensed occupations means occupations for which there are designated authorities, including regulators, that may determine eligibility to practise, and may cover occupations requiring specific vocational skill sets or expertise under various industry or business sectors or state and territory regulatory regimes."

"Each Party shall encourage the mutual recognition of the relevant qualifications, licensing or certification requirements, including in regulated or licensed occupations under various industry and business sectors."

"Each Party shall engage with its relevant bodies and encourage them to establish dialogues with the relevant bodies of the other Party with a view to negotiating and concluding within 12 months of the date of entry into force of this Agreement mutual recognition or similar arrangements providing for the recognition of the qualifications, licensing, and registration procedures across professional services and services in regulated or licensed occupations of mutual interest. The Parties shall promptly exchange the relevant contact points to facilitate such dialogues."
Indian family law firms and nepo lawyer mafia will not allow it.
The actual commitment to liberalisation of a service sector, like legal services, does not take place in the chapter you are quoting. It takes place in the schedule that the parties have agreed to, which in the India-Australia ECTA is Annex 8E for India. India has not scheduled any commitments against the legal services schedule and that is the end of the matter for the setting up of firms. If you go further you will note that even in other areas such as management consulting services or the annex on Movement of Natural Persons, India has specifically excluded legal services.

So the answer is no.