Are you off by an order of magnitude here? The closest star to the Sun would be around 4 light years
For everyone else it would take longer than 558 years of course.
If you were to goto Alpha Centauri and then back to Earth, you may have spent just 2 years in your rocket. But when you get out of your rocket, you will find that 8 years have gone by on Earth.
Taking a lot of liberties with my explanation, but hope this ELI5 works.