Yes. In a Group, admins can post without their name showing. This option becomes available when you set the group so that only admins can post.
You can set this up while creating a new Group or while editing an existing one:
Open the Group's settings (during creation, on the Group Details page, or by editing an existing group).
Turn off Allow members to send messages so that only admins can post.
The Show admins as anonymous toggle will then appear. Turn it on.
Save your changes.
When this is enabled, messages from group admins appear without a sender name. You can turn it on or off at any time from the group settings.
To learn more about Groups, see Chat: How to Use Groups.
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