Yes, of course, but at the moment the site is only there to try out my idea and evaluate its potential.
Might work for a while, but a dangerous game to play...
It mandates a Impressum for „ geschäftsmäßige, in der Regel gegen Entgelt angebotene Telemedien“. If it’s not geschäftsmäßig (Business-Like?), you don’t need an Impressum. If you do it for free without any intention to make money now or later, it’s not geschäftsmäßig.
If I have a blog that I update regularly but don’t have any ads from or take donations for, I don’t need an Impressum.
But I don't see any direct monetary value on this site at the moment. There is not even a reputation-gain, as there is no personal information. So Impressumspflicht would not apply.