Yes. If you use a public username (Method 1), the admin sees "User joined" but not how they found it. They cannot see if you used a link or search.
Joining a Telegram group without sharing the link is possible using the methods described above. Whether you ask the group administrator directly, use Telegram's "Invite to Group" feature, join a public group using a bot, or use a third-party website or service, you can join a Telegram group without needing to share the link. Always be cautious when joining groups and interacting with strangers on Telegram, and make sure to follow the group's rules and guidelines. how to join telegram group without sharing link
Telegram emphasizes user control. If a group is truly secret and the admin refuses to use any of the above methods, to join without some form of invitation. The methods above are the only legitimate, non-link-based ways to join a Telegram group. How to Join a Telegram Group Without Sharing