Ukrainian nationals can continue to travel within the Schengen area. Both Poland and Germany are part of the Schengen area. You can stay in countries of the Schengen area without a visa or a residence permit for a total of 90 days. The same applies if you have already received a residence title in one country of the Schengen area, e.g. for temporary protection.
If you want to travel on to apply for temporary protection in another EU Member State, you are allowed to do this (without a visa as well) and then apply for the residence permit for temporary protection locally in the new EU Member State, for instance from Poland to Germany as in our case. Every person, who registered and applied for a residence permit, has the right to apply for and receive welfare support from the German government.
More information from the German Interior Ministry can be found here (available only in German).