Dear @Jumais,
thank you for sharing your question with the Wefugees Community.
If you have applied for asylum in Germany, no you cannot go to work in another European country. If you want to go for working to another EU country, you have to first have the EU Permanent residence permit in Germany or German nationality. With the EU Permanent residence permit or with the German passport you can then work in other EU countries.
I hope, you have got your answer. I am a MBEON consultant. If you wish to contact me directly, you can see my profile and follow the instructions there.
Best wishes
Fardeen Noori