There is no reason why you couldn’t do it. Many of the 125cc drivers run without a rear wing in the UK and some people have tried it in 250 Nat at Thruxton.
If you plan on attempting it first thing to want to do is decrease the angle of the nose or probably in your case with the PVP style is make father leading edge even higher the nose.
Secondly you’d want to decrease the caster angle. decreasing the angle will make steering easier and less prone to snapping away so you can put use more steering. Lastyou if you can move some weight balance to the rear of the kart too.