There is one time when He visits Nazareth that might be like what you are asking. The Matthew and Mark accounts seem to be parallels.
Matthew 13:53-58 53 ¶ When Jesus had finished these parables, He departed from there. 54 He came to His hometown and began teaching them in their synagogue, so that they were astonished, and said, "Where did this man get this wisdom and these miraculous powers? 55 "Is not this the carpenter's son? Is not His mother called Mary, and His brothers, James and Joseph and Simon and Judas? 56 "And His sisters, are they not all with us? Where then did this man get all these things?" 57 And they took offense at Him. But Jesus said to them, "A prophet is not without honor except in his hometown and in his own household." 58 And He did not do many miracles there because of their unbelief.
Mark 6:1-6 ¶ Jesus went out from there and came into His hometown; and His disciples followed Him. 2 When the Sabbath came, He began to teach in the synagogue; and the many listeners were astonished, saying, "Where did this man get these things, and what is this wisdom given to Him, and such miracles as these performed by His hands? 3 "Is not this the carpenter, the son of Mary, and brother of James and Joses and Judas and Simon? Are not His sisters here with us?" And they took offense at Him. 4 Jesus said to them, "A prophet is not without honor except in his hometown and among his own relatives and in his own household." 5 And He could do no miracle there except that He laid His hands on a few sick people and healed them. 6 ¶ And He wondered at their unbelief. And He was going around the villages teaching.
The people in the villages doubted, so many did not come for healing. Likewise for the miracles. Scripture shows that all those who came in faith were healed. These people, however, did not come first in faith. If someone came without faith (say at the insistence of a loved one), they might not be healed. The paralyzed man's friends showed their faith for him, and Jesus acted.