Using column formatting on Person or Group type field you can only access below properties as of now (with example values):
{
"id": "122",
"title": "Kalya Tucker",
"email": "[email protected]",
"sip": "[email protected]",
"picture": "https://contoso.sharepoint.com/kaylat_contoso_com_MThumb.jpg?t=63576928822",
"department":"Human Resources",
"jobTitle":"HR Manager"
}
Official documentation:
Column Formatting in SharePoint - Special string valuesColumn Formatting in SharePoint - Special string values - Check People fields section