The following online stores offer vegan baby and toddler shoes.
Clamfeet: Offers adorable baby shoes and matching shoes for mothers. They have an eco canvas exterior, organic cotton lining, and rubberized grip sole. They are washable. https://clamfeet.com/
Happy Little Soles: Offers a vegan section of shoes for boys and girls. https://www.happylittlesoles.co.uk/
Pediped: Offers a large selection of vegan shoes for kids of all ages that can be shipped internationally. https://www.pediped.com/vegan
Softstar: Offers moccasin-like ramblers made from soft vegan Ultrasuede with rubber soles. They are available in baby and youth sizes. https://www.softstarshoes.com/child-youth-vegan-rambler.html
Ten Little Shoes: Offers vegan shoes for kids. https://tenlittle.com/
Tom’s: Sells vegan shoes for children worldwide. Search under the word vegan. https://www.toms.com/us/kids/shoes
Vegan Chic: Offers a few options for children including The Kid’s Ramos by Keep. https://www.veganchic.com/kids/vegan+shoes/search.aspx