Yes but how can you get to those rooms without the double jump? You have to go up these glitchy moving platforms and without a double jump, I don't think you can get off them. Maybe with a perfect wall cling off one but timing the wall cling on the moving platforms is ridiculously hard.
People who want to finish this version just list it as "possible" and use my strat to see the (short) cute ending.
Did some testing you can get up to the wall jump portion without the double jump but if you complete the wall jump and go down to complete the fire it's impossible to get to the crotch section.
Edit: after many many attempts you CAN get to the crotch section with only crouch. Just really really hard is all. So don't be me: be efficient with time and follow a simular guide to mine :/