As far as I know potential difference can only be created by electric field created by static charges, but in case of inductor non-conservative electric field is induced.
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1You question is one which has been debated many times. I think that the lecture by Ramamurti Shankar of Yale University is a good start to the understanding of this topic. Mutual & Self Inductance starting at 37:47. If you search this site using the words potential difference inductor you will find a number of answers to your question. – Farcher Nov 09 '23 at 08:59