Oh, heck no. Lol. Way too painstaking, and the constant starts and stops would make one ugly flute. Plus you'd have to come up with a tracing system that works on a tapered helix, and a rigid yet free spinning enough set up that would allow the tracer to move smoothly without inducing chatter. That's a tall order.
The right way is to take the handle and plate off, install a gear or cogged pulley, do the same with x-axis lead screw, then figure out your ratio and drive train to rotate the dividing head (or rotary) at the same time x is traversing for accurate, repeatable and smooth cuts.
Most lead screws on full size knee mills here are .200" travel per revolution, and most dividing heads or rotary tables are 90:1, so if you wanted a full revolution helix over 18", you'd actually be able to drive directly 1:1