Yes, but regulation is tightening and requirements differ significantly by market. The single most important rule is that cosmetic talc must be confirmed free of asbestos, a baseline shared by all major markets.
China's Safety and Technical Standards for Cosmetics explicitly requires cosmetic talc to be asbestos-free, supported by test reports from the raw material supplier. The EU has revised its talc restrictions several times in recent years, with additional requirements for powders used in the perineal area, and the US FDA is advancing related testing guidance.
For products intended for export or multi-market filing, prepare two tracks: keep the talc version with complete asbestos test reports, and have a substitution option ready using mica, boron nitride or starch-based powders.