Forward looking report - is hours per person, per day, per project possible via API?

Posted on behalf of a customer. Original posting date 2016-04-12.

Greetings, we are manually feeding data into Microsoft's Power BI (MS Tableau basically) via timesheet export to enable the attached image.

In speaking with my main contact there, his assessment of what data would be necessary to provide a similar view of future work would be:

hours per person, per day, per project. To this end, my questions are:

Is this possible via API?
Is there a different data set (aside from the one in the title) that would accomplish the same result...perhaps more easily?
Any detail as to what calls they might need to make, (in case that's not terribly complex and handled more efficiently in a live discussion, etc.)

Please let me know if I can offer any clarification. Thanks!