It's kind of a "waste" of human effort to do manual pollination like that rather than having insects do it "for free", but in an emergency, if that's all you've got, then it can be done.
It also seems to me like this kind of work would be ripe for automation with robots or drones somewhere down the line if, say, most bees wound up dying out and humans were forced to pollinate by hand at a large scale.
Better to have friendly insects do it, but if you want the fruits, having humans step in is viable (it is or at least has been done for apples in China).
There's also a lot of plants that self or wind pollinate (most grains).
>"It was designed as an impregnable deep-freeze to protect the world’s most precious seeds from any global disaster and ensure humanity’s food supply forever."
This story makes the design/management of that place look really bad. In 2007 the IPCC was predicting a 0.4 C average temperature rise by 2020 and about 1.0 C by 2040[1], etc. This isn't too far off from what happened[2], so this makes it look like they did not plan ahead at all.
[1] http://www.ipcc.ch/pdf/assessment-report/ar4/syr/ar4_syr_spm... (Figure SPM.5)
[2] http://www.woodfortrees.org/graph/wti