After having done some extra maths it seems that it is possible.

At the descent the speed wil be restricted from 220 to 170 knots.
Say ~200 knots in that leg from 12.000 ft to 2780 ft is a descent from ~9000 ft.

The distance is 16 nm --> 200/16 x 60 min=4.8 min ~5 minutes.
So 9000 /5 =1800 ft v/s  

Then a v/s from 1800-2000 ft would be enough..... 8-)