Not directly, but indirectly, yes. Screens themselves don't create bags or dark circles, but the things that come with heavy screen use can: poor, short sleep (late-night scrolling), eye strain and squinting, and rubbing tired, dry eyes. All of those can make the under-eye area look puffier or darker.
The helpful steps overlap with good eye habits: protect your sleep (cut evening blue light), take breaks, don't rub your eyes, stay hydrated, and manage dryness. Persistent dark circles can also be genetic or down to other factors, so they're not solely a screen problem.