VEJ
You cannot couple to a Non-Precision approach because there is no vertical guidance.
A fully coupled approach requires precision guidance in both azimuth and elevation.
You can use the autopilot to execute a non-precision approach with azimuth guidance (VOR or LOCALISER) coupled, but the descent will be controlled by the the chap driving.
If you want, I am sure there are many folks out there with planet sized brains who can go into far more technical detail than I have enthusiasm for.