The short answer: yes, we can do that for our customer, raising input impedance to 100K.
The long answer: Common rule-of-thumb is that the input impedance to be at least 10x that of the output impedance. Going to the extreme may or may not bring any real benefits.
One aspect of the issue here is that resistor is noisy, more so that the Op-Amp (which rejects CM noise). For example, with 20Khz bandwidth, if the input impedance increases from 47K to 100K, the noise will increase from 3.9 uV to 5.7 uV. If the power bandwidth increases, the noise increases in a 'square' relation.
So finding an optimum value such that maximum voltage is transfered (the 10X rule) yet keeping the input resistor as small as possible can improve performance.