To the best of my knowledge, NX won't do what you are describing.
You can apply a "non-uniform" scaling to a body, which allows you to enter independent scale factors for the X, Y, and Z directions, but each is a constant scale factor only (not driven by an equation or law curve). Global shaping, as mentioned by @Abeinjapan is probably your best bet.
We can do something close to what you are asking for.
I created a solid I wanted to scale.
Then I created a sketch with two splines by poles (constrained to a H line). Same number of poles. Make the splines different length and drive the 'poles/scaling zones' using dimensions.
Next create two law extensions and ensure to maintain the parametrization of the splines.
Use the two surfaces as driver for the global shaping by surface.