The simple answer is “No, not at the moment”
They claim that self-driving is possible with:
No HD-Maps,
No expensive sensor/compute suite,
No hand-coded rules,
Driving on roads never-seen during training.

Replacing the entire self-driving pipeline with one end-to-end trained network seems to be impossible at this moment, but their case successfully demonstrates the potential of computer vision and deep learning approach under some contitions.

Getting a robotic system to work in the field is a very complicated game, which may take years and years to achieve stable results in city and urban driving, under numerous conditions (day, night, rain, snow etc), in different countries with their own local laws and traffic/driving patterns.

Anyway they have built a very strong team of professionals and are doing very well so far, check some of their videos on urban driving: