Yes, if you need a dairy-free dressing you can replace the Parmesan cheese with pine nuts, walnuts, or even almonds, which will also add creaminess. Or, for more of a cheesy flavor, try adding a small spoonful of white miso, which tastes like concentrated Parmesan cheese. (That's why I use it in Vegan Cream Cheese and my cashew-based Caesar Salad!)