No, in CLM5 we don't even have a surface dataset that includes soil pH.
Starting in CTSM5.2 we have soil pH on the surface dataset, but this information doesn't have any influence on biogeochemical fluxes in the model at this time. We also do not have the capability to modify soil pH over time. These would be exciting developments to consider adding to the model. Let us know if you have plans to investigate this moving forward.