Is it possible to convert a qiskit circuit into a numpy function, such that the resulting function can be used for further analysis with, possibly, implicit parameters?
This is currently not possible by using Qiskit directly but I developed the
qiskit-symb package (as part of the official Qiskit Ecosystem) on top of
qiskit-terra itself to allow something very similar to what you need.
Check out the README file in the
qiskit-symb project repository (this section, in particular). Feel free to contact me if you have questions or you need any support.