I moved when I was in the middle of 10th grade. I moved my children just before 10th and 11th grade.
Sometimes you have to move when kids are in high school. They can survive and even thrive. But it is really hard and if you have a choice I’d think pretty hard before doing it.
You should also look at residency requirements while your child is in high school. You might need to stay in state for the duration of their college.