Possible but probably not; also most likely over engineered.
Look in Gazeley or Saunier. I think even Archie Perkins has made a mention. All you need is former which is basically two plates with one of them having a disc shaped cutout milled with 3 or 4 "outlets" in the periphery and both having a central coaxial hole. Visualise something like a simple watch mainspring winder. The central arbor will have slits to anchor one end of the hairspring material and then it is rotated to form the hair spring coils. Usually 3 or 4 hairsprings are made at a time in one of these.
This is preceded by drawing the wire and then followed by heat treatment.
I'm sure I have over simplified the process but that is the gist.
Take a look at this video. The process and tool is at 0.40s onward.
Sharukh