Technically, yes. However, making an alcoholic-free version without cooking it is not advised. Eggnog is traditionally made from raw eggs and the alcohol in the drink helps to sterilize and kill any bacteria from the raw eggs. While you can use pasteurized eggs in this recipe and it be safe the drink with raw eggs, I don't think it tastes best this way. I recommend following the method of slowly heating the cream and eggs together so that this is perfectly safe and super creamy!