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Yes. You don’t even need the milk, cheese, butter and eggs. Add some plant-based oils and a good multi-vitamin and mineral to cover micros like B12, vitamin D, and iodine and you’re good. Oat and whole grain pasta are important… adding some other things like tofu and edamame would work well.
I prefer the “no cholesterol” diet. The most common cause of death in the US is cardiovascular disease and a vegan diet tends to prevent its progression and even partially reverse it sometimes.