You bet ... in courthouses .... in the jurisdictions/venues that pull licenses
You wish to show that people with permits commit low crimes I assume.
You can do this w/o the need to examine ALL places in CT ... do by a sampling process ... if you know the number of permits issued in a location and you can ID the # permit holders (or number of permits pulled - specific ID of the criminal is not necessarily required, right?) who committed crimes then you can do such an analysis.
You MAY be able to ask to inspect redacted records (records sans any IDing information) from a town that has pulled permits for being involved in gun crimes ... and the town may be able to give you an estimate or accurate # of permits issued.
http://www.cga.ct.gov/2010/rpt/2010-R-0461.htm talks about what information is NOT available under a FOIA request ... does not seem to include ALL information, just names and addresses.
So I think that you could go to a town, ask for permit records sans names and addresses and permit revocation records
Go to town after town until one says "OK, here are the redacted records" .... (some might just give you the # or permit holders - which would save both parties time) ... or go to one town and if they deny, file a FOIC complaint, wait a year for a ruling....
If you are not willing to do this work and are looking for a study already done; I know of none, but others might post.