I've been looking for the same. This isn't a chewable, but it's definitely vegan and apparently the pill is super-tiny:
http://www.devanutrition.com/vegan-tiny-tablets-multivitamin-mineral.html
Nature's Plus makes two vegetarian chewable multis, and I can't figure out why they're not vegan, but they don't list them as vegan (I haven't contacted them to clarify this, but I would if I were thinking of purchasing them). This one by Country Life might be vegan as well?
You could try a children's vegan chewable multi-Vitamin which are easier to find, and take a larger dose as directed by your health care provider, supplementing with more Iron or B12 or other elements as needed (these are also easier to find as vegan chewables on their own).
You could also utilize an 'all-on-one' Protein drink that includes Vitamins and minerals (though some don't contain iron). My favourite is Progressive VegEssentials All-In-One in the natural vanilla flavour. It's really good mixed with Water and one or two tablespoons of frozen orange juice concentrate. Their vegan protein powders are the best-tasting and least-gritty I've found.
(P.S. That's a beautiful ginger kitty you've got there. I used to have a giant, floofy ginger boy. Now all my floofs are grey.)