organic chemistry - pH responsive polymer which is immiscible in water?

Can anyone suggest a pH-responsive polymer, which is immiscible in water (polar solvent) but miscible in oil (e.g vegetable oil)?

I want to study the change in the density of such polymers when they are subjected to changing pH.

Edit:

I'm having a biphasic system of oil & water, and want to study the viscosity changes of oil with time!

For this, I was earlier thinking of having a polymer in the oil phase itself and somehow triggering (changing) its state of polymerization (density) by changing the pH of the underlying aqueous solution! (remember it's a biphasic system of oil & water).

But after reading some more papers and getting help from the underlying comments, I think it's not possible to have a polymer in an aprotic phase and then be able to study its response towards changing pH!

So now I have thought to change the experiment to synthesis a polymer at the biphasic boundary (surface) of the water and oil phase. This polymer must be soluble in the oil phase! Hence the product of interfacial polymerization must diffuse into the oil phase.