Yes, some of them. 0 of the 5 ASICS JOG 100S colourways we checked contain no animal materials and are confirmed by both the materials list and the product description, plus 5 more that look clean but publish no description to cross-check. 0 contain leather, suede or another animal material.
Likely animal-free (5)
The material label is clean, but no product description is published, so a minority material such as a suede overlay cannot be ruled out. Check the photos.