JRF would certainly be able to recreate the coils and the ferrite mounting
of the heads. Quad video heads are mounted (four of them) on a rotating
headwheel assembly running on a floating air bearing. Renovating those
headwheels involves specialized jigs and precision machine tooling that
would be probably within JRF's capabilities, but non-trivial (and probably
non-economic) to re-create from scratch.
Office of Presidential Libraries
National Archives and Records Administration