I am writing a custom import/export addon for a model file format that supports animations for cameras with cubic hermite and cubic bezier interpolation. Is it somehow possible to emulate the same interpolation effect using Blender's FCurves which appear to only support quadric bezier interpolation?
Blender also supports cubic (3rd order) curves.
Hermite curves can be converted into Bézier curves with a bit of math. From the two control points and the derivative at those points you can compute the two other points to complete the Bézier curve. More info can be found at https://pomax.github.io/bezierinfo/#catmullconv