That doesn't actually mean that you need to cover calculus in high school. The calculus needed for the first year of college science and engineering can be easily taught early in the first year in the classes that need it.
That's how it worked at Caltech when I was a student (late '70s and early '80s). Around 75% of an incoming class had no calculus. It only took a lecture or two in Phys 1 to cover all the calculus that would be needed for the rest of first year science and engineering.
That calculus taught in Phys 1 wasn't rigorous and proof based, but high school calculus usually isn't either. By second year everyone had a year of Ma 1, which was rigorous and proof based calculus.