Not legally. There are more options for high school; you can "apply" to some other districts that offer certain CTE programs.

Within Providence there are definitely some gems. People like Vartan and RFK. William D'Abate has some amazing teachers and programs. I'm sure there are other good ones I just don't personally know about. There are also lower-cost private/Catholic schools (if that works for you) that are cheaper than moving would be. And the Paul Cuffee lottery.