That won't work: you need a very quiet power supply line for that type of circuit to work because the resistor divider brings any noise from the power supply straight into your signal with just 6dB attenuation. You could try that circuit powered from 3.3V but that may still not be quiet enough. The quietest voltage source on BelaMini is 4.096V on the analog input header, that's labelled "REF", but I am unsure what its capabilities in terms of current are. It is the REFP pin of the ADS8166 ADC that is used for the analog inputs, so it's possible that using that may have some effect on the analog input performance, but that's unclear from the datasheet.
Yet another option would split the voltage reference from the JFET's power: use REF as a voltage reference, connecting two large valued resistors between that and GND, with the mid point connected to C1 and the JFET's gate. You should instead power the JFET from 3.3V. Resistor values to obtain the correct biasing would be 1M and 2.5M. Something like this:
REF 3v3
| |
R3 |
100n | |--
IN --||---+----|--
| |
R2 R1
|------|
GND
with R1=3.3k, R2= 1M, R3= 2.5M