Would Peter have gone to Caesarea without the supernatural events?
No, supernatural intervention was necessary. The trance, the men at the gate, and the Holy Spirit’s voice compelled Peter to go. As far as Peter was concerned, Gentiles were still dogs and God could have nothing to do with them, so he needed divine intervention to visit Caesarea.
Les explains that God’s intricate timing brought the men from Cornelius to Simon the Tanner’s house just as Peter was pondering the vision. The Holy Spirit told Peter to get up, go with them, and doubt nothing, because He had sent them. Les asks his classes whether Peter would have gone without such a supernatural environment—the trance, the men at the gate, the voice of the Holy Spirit speaking—and answers no way. Peter still regarded Gentiles as dogs and believed God could have nothing to do with them. Les adds that Peter was not a pig-headed Jew but a Jew who knew what was expected, in accord with the program thus far, as Matthew 10 shows.
Now while Peter doubted in himself what this vision which he had seen should mean, behold, the men which were sent from Cornelius had made enquiry for Simon’s house, and stood before the gate,
While Peter thought on the vision, the Spirit said unto him, Behold, three men seek thee.