Hi @NeuimDeutschland
You can get an independent residence permit if you find qualified work which allows you to earn enough to live on.
The job must require some sort of qualification and this qualification must be recognised in Germany. The type of permit is according to paragraph 18a or 18b of the immigration law (Aufenthaltsgesetz).
It is not the amount of hours you work that matters but what your earnings will be. If your wife will not be remaining in Germany, then you only have to show you will earn enough to support yourself (living costs and rent). If she wishes to stay here after her contract ends, then you have to show you earn enough for both of you. She would then in turn move to a residence permit as your family dependant.
Best,
Éanna