The answer is yes, if you buy a Jtek shiftmate model 2 (1.07 ratio) and run is in reducing mode (smaller pulley to the derailleur).
The spacing on your cassette is 5.0 mm. The cable pull on your shifters is 3.6 mm. The actuation ratio on the new 10 speed derailleurs is 1.5 : 1 so you need to reduce that by 7% to get 3.6 * 1.5 / 1.07 = 5.05 mm which is good enough. Run a 9 speed chain it will work OK on the derailleur.
I used to run this system in reverse (10 speed shifters with 8 speed Record derailleur) and it works OK - a bit of clatter in the outer gears but no skips.