It is definitely possible, I have a C-08 with a 36k warhead black and 13:1 gears.
Keep in mind that the warhead is a very particular motor and requires some considerations:
You NEED to short stroke the gears, the thing cycles so fast that if you don't, you will either PME like crazy or have horrible timing issues, on my C-02 I short stroked by two, on my AK I had to knock 4 teeth off. Removing teeth from the piston isn't necessary, AOE correction isn't necessary on most setups (didn't do it on mine, but I generally don't believe in AOE correction unless it's a mega wanker 50+ RPS DSG setup);
You NEED to trim the tappet plate fin, otherwise you'll run into timing issues where the piston is released when the nozzle is still moving. Don't overdo it or the gun will simply stop feeding. On mine I also reprofiled the whole fin to make the nozzle smooth in its travel, but this step is unnecessary in most cases.
With this in mind, replace the nozzle with a POLYMER one with an o-ring, replace the piston head o-ring while you're at it to ensure proper air seal and maybe take a look at mosfets (Perun Hybrids are great and work really, really well with brushless motors).
If you short stroke you will probably need a stiffer spring, but don't go overboard and order a M150, my guns do 0.99J on shortened M90s with the sole exception being my AK that runs on a M100. To achieve 1.13J I guess a M100/M110 is fine depending on your compression setup.