Is there anyway to do this through the GUI?  Settings, Technical, Models, Add a line.....? 

Hi,

By default, we don't have this option, but this can be achieved by adding a new field in the project.project.stage model and in the view.

company_id = fields.Many2one('res.company', string='Company', default=lambda self: self.env.company))

After adding this field, you can now override the stage_id field defined in project.project model and add the field parameter company_dependent=True for making the stages company-specific.

Thanks