Not possible/Seek alternatives
Vitamin-R Time Tracking
Vitamin-R is a time tracking tool: http://www.publicspace.net/Vitamin-R/
It has some great features like what you are currently working on, tracking concentration level, whether the task was completed, and adding tags to pomodoros. It also has a log book of all past pomodoros. One feature is syncing data to Dropbox. Seems like it could be possible to read the log book from Dropbox and parse out all of this great data.
This is not possible due to no API, but using the Dropbox sync it might be something you could set up yourself using our API.