I'm afraid your misconception is more basic. Consider the following circuit.
Let Z be an impedance constructed of any combination of R, L and C you please, series and/or parallel connections, as many passive R, L, C components as you please. The voltage measured across Z is V, and the current through Z is I.
Let S be a source. It could be anything, a mains plug, a signal generator, a battery , or whatever. We'll exclude DC, but S is a periodic signal of any shape.
Z and S are connected only via the two terminals (black dots).
Now, if you allow V, I and Z to be complex numbers, Ohm's Law determines the relationship ##\frac{V}{I}=Z## between voltage and current. Nothing that S does can change that.
If S is not a sine wave, then it can be represented as a Fourier Series which has several harmonic frequencies. ##\frac{V}{I}=Z## applies separately to each harmonic, and the total is the sum of all harmonics. Changing the fundamental frequency of S can change Z, but still ##\frac{V}{I}=Z## . The relationship between V and I depends on Z, not S. Changing the waveform of S, changing the phase angle of S relative to some external reference does not change ##\frac{V}{I}=Z##.
So, what you say your objective is, to change the relationship between I and V using adjustments in S is theoretically impossible. That can be done only by changing the contents of the box Z. I hope that I'm making the message clear.