According to google yes your yorkie can catch it from your kitten
Can Dogs Get Ringworm from Cats? YES! People may think because dogs and cats differ vastly biologically, that your dog could not catch ringworm from your cat, but it absolutely can! Due to the highly contagious nature of the fungal infection, it is certainly possible for your dog to catch ringworm from your cat. So understanding the symptoms and treatment options is essential in a house that contains infected pets.
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https://wagwalking.com/wellness/can-...worm-from-cats