Yes. All Purple mattresses can be used on an adjustable bed. In fact, Purple even has its own adjustable base, the Purple Ascent Adjustable Base.
The Ascent Adjustable Base by Purple offers multi-positional customization, remote control, and built-in USB ports. It is designed to be used on its own or nestled within your existing bed frame.

You can opt to use their adjustable base or select a base from a third-party manufacturer.
When used on any adjustable base, the foam, Purple grid, and coils (on hybrid only) will move and contour to accommodate the movements of the adjustable base.