It is possible to extract Extented Properties using SQL Developer Data Modeler?
I'm not sure I understand what your use case is, but you can retrieve them by querying the sys.extended_properties system view. 

SSMS doesn't provide a helpful way to view extended properties outside of the individual dialogue window for a single object anyways, so this is probably your best route. 

Neither tool will be able to build you a data dictionary necessarily, but you can generate a simple one by querying from any tool.