No. I believe they are two totally different concepts. The one in the movie was a large magneto-hydrodynamic pump.
The pump jet technology here is closer to the jet-ski propulsion.
Basically the idea is to have a much smaller propeller surrounded by a radial flow chamber. (I wish I knew what I just said)
Here is an example.
Some of these are rotatable (vortex), some not.
You can usually tell by whether there are control surfaces on the planes and rudders.
The French have a submarine with a vectorable drive, and this Russian one mentioned in the article is 'fixed'.