I dunno whether it's just a general phase of losing my apetite or if I'm just being paranoid about developing bulimia if that can even be done

It's just strange because before all of this I was eating fine, and never felt ill .. but ughh.. this isn't good  

Unless you answered yes, your not bulimic. You would know if you were bulimic.

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Happiness is the secret of all beauty.
There is no beauty that is attractive without happiness.

It happens, I get it, I know a lot of other people that get it. It passes with time.

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If you read this, you're a loser.

By definition, in order to be bulimic you need to binge eat, which obviously you're not doing since you don't have an appetite to begin with. That said, you can easily rule out the fact that you have bulimia, but just to put your mind at ease, I'll go further. You're not purging the food you intake. Heck, well, you don't have food that is being intake to begin with. Along with that, bulimics generally tend to lose weight in an unhealthy manner. Whether it be by causing yourself to throw up or doing things such as purging, both go towards the factor of  bulimics.

You're not feeling ill, and if anything you would most likely have Anorexia Nervosa, but it's still wayy too early to tell. You've only been not eating for two days, if it continues than there most likely could be something wrong, just don't psych yourself out and get all stressed and upset over it. You're fine for now, just try to eat things every now and then such as vegetables/fruits/etc.