Interesting research about this subject focuses on hydrology, which is greatly affected by climate change. Results are mixed. Some areas may have increased frequency of earthquakes and some may have decreased. Local topology is likely the main factor as well as other correlating regional factors such as subsidence due to aquifer usage (which is both directly and indirectly affected by drought).
I don't know how to properly cite here with this crappy keyboard I'm on, but there's enough reputable sources out there which at least point to this being something plausible.