I agree, there is currently no way to customize this.
There is a uservoice that requests some changes, maybe not exactly what you want but close. You could also create a own uservoice suggestion.
"Profile would include the employee's location, Teams/departments they are apart of, how long they've been at the company, skills, interests, social media links, etc.. (Pingboard does this well)"
https://microsoftteams.uservoice.com/forums/555103-public/suggestions/35964652-org-chart-improvement
And maybe you want to blur the phone number for one of the users in your image...