More broadly, EMTs are not the only individuals capable of providing support after a shooting. Indeed, some state governments (e.g., VT and MN) have a statutory "duty to rescue" those exposed to grave physical harm for all individuals.
One would hope that police officers would be the most likely to do this, especially after a grievous injury - even if the wounds proved not to be survivable, this is hard to assess from feet away, with a gun drawn.
As an aside to counter a point you make elsewhere, there are multiple other police on the scene in the video, though it's not clear at what point they arrive.
1. http://www.nydailynews.com/news/national/man-shot-dead-minn-...
EDIT:
For posterity's sake, here's a press-release description of medical training that many Minneapolis/St. Paul are police officers receive:
https://hcmcnews.org/2013/01/09/hcmc-network-feature-real-li...