No, the height is not standardly adjustable; it's set at 7.4 ft, a size that perfectly fits a tall adult and vehicles under most home roofs.
However, if you want to adjust it, there are a few workarounds our customers use.
To increase the height, they build the pergola on cement and brick platforms easily adding 1-3ft.
To decrease the height, some customers cut the legs (but this will void the warranty).