Dear @Ozigi,
Welcome to the Wefugees Community and thank you for your question.
No it is actually not correct. Your status in Germany is irrelevant - of course you can sign the "Vaterschaft" (declare the fatherhood) as refugee in Germany. We discussed a similar situation here before - you may want to check out.
I hope this helps and please don't hesitate to get back to us with any further questions.
All the best,
Meike