Yes, but you need a Tamil input source. Macs use the "Tamil - QWERTY" layout, which is slightly different from Windows Bamini. You may need to remap keys or use a Windows VM.
A typical Tamil typewriting course, as outlined in a book like this, follows a structured syllabus to build comprehensive skills. The syllabus is often divided into key modules that cover both the theoretical and practical aspects of typewriting. You can learn more about the official syllabus framework from resources like the Tamil Digital Library. Lakshmi Tamil Typewriting Book Pdf
Your action plan:
This foundational module focuses on getting familiar with the Tamil script and the typewriter or keyboard itself. Yes, but you need a Tamil input source