Not to any degree that can be meaningfully proven. The God-Worshipping Society predated the 1848 revolutions and in any event operated in a relatively hinterland region, a few degrees of separation from potential major changes taking place on the coast. See past answers such as these for more:
There is somewhat of a literary connection in that Marx commented on the Taiping as well as the 1848 revolutions, with one piece in the 1850s and one in the 1860s, but there is, as it stands, no published scholarship analysing these specific writings.