I'm going to fake being sick tomorrow so I don't have to eat
Why don't you want to eat?
I hate the taste of my lunch, I dislike the food and I can't handle it
If you hate your lunch, then don't eat that particular thing. You shouldn't fake sickness over it.
I'm going to fake sickness tomorrow.
If you are really put off by the food that you have available, you can always try other options.  You could bring something of your own, or try to buy something from a vendor, but you shouldn't fake illness.  Other people will really worry about you, and this could cause you a lot of disruption, as well.