Theoretically you can say YES. But it all depends on the ratio of Ej/Ec (Ej Josephson coupling energy, and Ec capacitive charging energy). That what you can achieve with a chain of JJs or a chain of SQUIDs. I suggest you to have a look at following article, Ergul et al., new journal of physics 15, 095014 (2013).
As far as I know, you should observe resistive branch below superconducting transition corresponding to Phase Slips. They may not be a big difference between thermal and incoherent quantum phase slips. However, you must observe Coulomb Blockade in case of coherent quantum phase slips.