Not really, according to the CCES 2018 data. For each state, I've looked at the proportion of the voting population which identifies as a Republican
(pid7) and which also self-identifies as liberal
(CC18_334A). Below are the results, plotted firstly as a proportion of the general voting population, and then as a proportion of the Republican population.
The top five states as a proportion of the voting population are Oklahoma (2.4%), Iowa (1.9%), Kentucky (1.6%), Hawaii (1.5%), and Rhode Island (1.4%). As a proportion of Republicans, the top five states are Rhode Island (6.8%), Hawaii (6.5%), Oklahoma (4.5%), Iowa (4.2%), and Connecticut (4.0%).
State,% of Voters,% of Republicans