Some, but not all, states have an official quilt block. A couple of years ago I found this site which contains lists of the states with their official symbols. for example - Alabama doesn't have an official state block, but it does have an official quilt. If you go to cultural symbols, you can get more information. Or click on the name of each state to review the symbols/items that have been voted as the "official" item for the state.
http://www.statesymbolsusa.org/Lists/50stateslist.html