You may need to make it pretty narrow for it to shoot with decent speed.
I made a plum branch shortie for my son, which draws 20# at 24". It's 130 cm long (51"; a longbow for him), and is 16mm at its widest (bendy handle) by 16 mm high in the handle, tapering to tips 5 mm wide at the nocks (1/5") and 8 mm high.
I needed to add small flax strips on the sides to avoid lateral warping when drawing the bow, but that was the only way to get the bow mass down enough to get it to shoot decently. No cut nocks, I wrapped flax around the tip as a shoulder to hold the string.
So yes it seems you can shorten and narrow it considerably for that draw length and weight.
Joachim