Do you allow if your kid doesn’t want to eat breakfast before going to school?

We have a "finish your food or wait until the next meal rule" in our house and because I implemented it on my daughter when she was about 5 years old, she knows well enough that if she skips breakfast before school, there wouldn't be any chance for her to eat until recess time since is about 4 hours later. Especially if she has PE lessons, breakfast is usually fuss free. There are days where she wouldn't eat much and I'll remind her that she wouldn't be able to eat until recess.