(Apparently early models of the Boeing 747 even had a sextant port built into the roof of the cockpit.)
You can't use static charts because the Earth wobbles a bit (called precession and nutation), and doesn't rotate at a constant speed. This effect can make a difference of being off my many miles just over a year, and 10's of miles over a few years.
I have a plan to do a bicycle tour from Canada to Mexico sometime in my retirement years (or sooner). Part of that included a 'Wouldn't it be quaint/interesting' desire to bring along an old sextant I inherited and see how close I could chart my progress to my actual location.
If the charts change that much over time, then this might work the way I was expecting.
But, so long as it's just for fun, you can rely on your phone for updated star information and time.
This isn't just recreational fun, most (maybe all) Navys still require having people on board each major ship that can perform sight reductions and wind up watches. The assumption would be that during a war GPS and electronic devices would be destroyed. The "stick in the ground" method doesn't work if you're moving, and takes a while, and speed matters when you're being hunted.