How do you detect when the coil is dry, so it does not burn-up?
Beyond a drop, you still need a constant supply of cooling fluid on the coil. Without that constant cooling, the coil gets up to melting temperatures, once the liquid has been vaped away.
The design of the coil requires a constant flow of liquid. Air helps, but not as much as the liquid does.
You would need to reprogram the element to have a temperature sensor, so it turns off when there is no more liquid flowing, and cooling the coil.
That arrangement would be ideal for a heating element that was regulated, or unable to get above melting temperatures. (EG, like a traditional vaporizer using a small hot-plate.)
You would also have to be able to see the actual drop, as it drips. When the container is full, you may get one drop per depression of the switch/lever. However, once air gets inside the bottle, it requires more depression or pressure and length in lever motion, to compress the air in the bottle enough to force the liquid out. (EG, when there is no air in the bottle, the pressure goes to the liquid first, and you get one drop. If there is air, it will compress until it gets up to pressure, and then the energy is transferred to the liquid, only releasing about 1/2 or 1/3 or 1/4 or 1/8... lower, as more air is present in the bottle.)
At some point, there will be so much air, that no fluid will come out, because you can not compress the air enough. It will push out some fluid, and suck it back inside, not taking in any ore air, and no releasing any more fluid.
Test the idea first... no cnc required. Just a bottle, a thumb-tack lever, and a film container, or similar holding device.