Yes, male ballerinas generally have to shave, especially their faces, for performances.
The requirement to shave is tied to maintaining a clean and polished appearance on stage. While the reference only explicitly mentions facial shaving as a requirement ("That's not an option you do have to have a clean shaving"), it also notes that the dancer fully shaves their chest. This suggests that body shaving, though perhaps not universally mandated, is practiced by some male dancers. Therefore, while facial shaving is essentially a must, the extent of other body shaving likely depends on the specific company's aesthetic standards, the role being performed, and individual preferences. The key goal is a smooth, hair-free look that enhances the visual impact of the performance.