No, AITSL completes assessments for the purpose of migration for school teacher occupations, to open the expandable area An AITSL skills assessment is for skilled migration purposes, migration. Although many of the requirements for teacher registration and an AITSL skills assessment, area An AITSL skills assessment is for skilled migration purposes only. It is separate, for further information. If, as part of your migration you require a skills assessment for a school teacher
https://www.aitsl.edu.au/migrate-to-australia/frequently-asked-questions