That cant be done. As to pointing you to Googles Statement of why it cant be done the only thing I can give you is the current documentation for the API.
IMO this feature would be located in the Management API probably under User permissions but i'm not really sure that's the best place for it either.
User Permissions - Developer Guide
I feel this is a very good idea and added it to my long list of feature requests feel free to star it. Manage Scheduled Emails Now I'm not sure they will add it I think they may decided that there is to grate a spam risk with this. But we will have to wait and see.
Tell your boss that its not currently available in the Google Analytics API but a feature request was made.