One or two days won't hurt anything, but don't let your body adapt to a regime that will hinder your loss. I think our bodies let us know what we need and what we don't-it's our minds that won't cooperate!
If you're genuinely not hungry for a few days, make sure what you ARE eating is nutritionally satisfying, and don't worry too much about it. Going beyond that amount of time not filling close enough your caloric needs will only slow your metabolism, and therefore your weight loss-and when you do start eating normally again your body will just store it......google "starvation mode" if you want to know more about the specifics....it's definitely bad news. It's an instinctive process that happens as part of our self preservation, and it will definitely make what you do lose harder to maintain.
I hate to say "make yourself eat". This is all about listening to our bodies telling us what we really do/do not need, but in the end, you do NEED the calories. Until we can learn to abide by those internal cues, we have to map out plans for every day that we know are healthy.
Don't let yourself make it through the whole day before you realize you haven't had enough fuel. It's always best for the metabolism to have smaller, more frequent meals, so keep healthy snacks handy. I don't like the protein bars, and my tastes change like the wind-lately I've been keeping apples or small ziploc bags of pretzels on my kitchen counter so that I can get a snack in without the "fridge wander" that inevitably leads to bad choices.