No, unfortunately. In Germany, first aid training for the regular drivers license does not expire.
I would welcome mandatory refreshers every 5 years. Not just because people forget, but also because the best practices (legal and medical) can change over time and people should be kept up to date.
In California, DMV requires renewing the drivers license every 5 years, which requires a simple vision test and a knowledge test about the rules of the road. The knowledge test can now be substituted by a ~90 minute at home online training (short videos and quizzes). I think that would be a great model for first aid refreshers as well.
(On the other hand, to be fair, the mandatory trainings are mostly from an era where emergency services weren't always instantly reachable by anyone. And there isn't _really_ a reason why the drivers license in particular should require first aid training; accidents can happen anywhere.)
Same in slovenia... but do you ever have to renew it? Or do you pass it at 18, and then forget everything in the next 10, 20, 30 years?