I remember reading one of Forbes' annual listings of the world's billionaires in which they tried to include a photo of everyone in the top couple hundred. Astonishingly a few had no photos -- Forbes said that they couldn't find a photo. According to Wikipedia, "Forbes employs a team of more than 50 reporters from a variety of countries to track the activity of the world's wealthiest individuals." So you can absolutely be among the richest people on Earth and not have a publicly available photo.
On the current Forbes list the following have no photos: #23, #36, #61, #122, #153, #167, #191, #198, #215, #233, #244, #272 (two people at this rank), #290 (also two), #343, #355, #365, #379 (two again), #394, #413, #452 (two again), #504 (four people), etc.
That means that 5% of the richest people in the world (24 of the richest 500) are so anonymous that there isn't a photo that even a dedicated team of reporters can find.
Current list: https://www.forbes.com/billionaires/