Does the value of opamp input impedance have direct effect on the amount of noise measured in this scenario?
Resistors

-Resistors Vnr = √( 4kTBR)  for k=Boltzman's, T ['K], B[Hz], R[Ω]
- If source impedance = 0Ω, the input voltage noise dominates.
- If source impedance is high. e.g. xxx kΩ then noise rises* due to Johnson Noise effects
- rises*  by  √Rs relative to specified noise at stated R.          

Active devices

-Bipolar op amps (OA) tend to have lower voltage noise than JFET ones, unless the BJTs are high speed types or the FETs are large and high capacitance types.
-Current Shot Noise = √(2I(in) q)/√Hz unless bias compensated and depends on 1/f corner
 - shot noise of simple bias currents = Schottky noise
-Voltage noise is specified on the data sheet, and it isn't possible to predict it
-Current noise varies widely upon the input structure.  

If the noise is uncorrelated then noise voltage adds by RMS or "root-sum-of-squares" 

Summary


common dominant source of noise ( but not all OA's)


low R = Voltage noise of OA
medium R =Johnson Noise of R
high R = Input bias current flowing thru R   


so it is not the bias current x OA input impedance