Yes To

The Campaign for Safe Cosmetics' 2011 report Market Shift describes the seven-year project during which the Campaign worked with companies through the Compact for Safe Cosmetics, the voluntary pledge to avoid chemicals banned in other countries, avoid harmful ingredients whenever possible and fully disclose product ingredients. This company is one of 322 cosmetics companies highlighted in the report as 'Champions', for meeting the goals of the Compact.
[Source 2011][More on Product Safety]

This company has either signed PETA's statement of assurance or provided a statement verifying that they do not conduct or commission any animal tests.
[Source 2018][More on Animal Testing]