No. Śvetāmbara child sādhus (bal‑muni / kummar‑sādhu) are not supposed to expose their private parts in daily life.

Very briefly:

• Śvetāmbara rule:

Śvetāmbara sadhus and sadhvīs – whether child or adult – wear white clothes. Their body, including private parts, must remain covered in normal daily activities.

• Child renunciants:

Even when they are very young, they are trained in lajjā (modesty) and brahmacharya (celibacy). Exposing private parts would go against Jain sadhu‑maryādā (discipline and decorum).

• About nudity in Jainism in general:

- Digambar: Complete nudity (digambar‑vrat) is practiced only by full, adult male munis, not by children, not by women, and not casually – it is a very high internal vow, taken with great discipline. - Śvetāmbara: Do not practice nakedness; all munis and sādhvīs remain clothed.

If you have seen any image or incident suggesting casual exposure by Śvetāmbara child sadhus, that would be against proper conduct and not what Jain śāstras and traditions prescribe.