Are you eating just fats, like, a few tablespoons of olive oil or something? I see no reason why you can't toss some protein in there as well. Maybe something like 2 whole eggs, or a glass of whole milk with a scoop of protein, or 1 or 2 spoonfulls of peanut butter.
Otherwise, you're probably fine with that. Though, my instinct is that you may not need a 360-calorie meal right before bed (of course, that depends on your goal and daily calorie limit).