Acts 28:27:

For the heart of this people is waxed gross, and their ears are dull of hearing, and their eyes have they closed; lest they should see with their eyes, and hear with their ears, and understand with their heart, and should be converted, and I should heal them.

Notes on Acts 28:27:

We see the correlation God draws between seeing with your eyes, hearing with your ears, understanding with your heart, being converted, and being healed.  God was willing to heal these people, but they did not want to hear the gospel.  In this case, this applied to some Jews who did not like Paul’s message.

Some have objected that “heal” in this and similar passages is only figurative.  However, the word for heal, ioamai, is used so often of physical healings that the “figurative” assertion is dubious.  If these people had really opened up their hearts, they certainly could have been physically healed as well as healed in other ways.  I contend that this quote from Isaiah DEFINITELY refers to physical healing, and anyone would be hard-pressed to argue my point because the word iaomai is only used of physical healings everywhere else in the New Testament.  For proof of this, see “Healed” Defined and the answer to Objection: Matthew 13:15, John 12:39-41 and Acts 28:27 Prove That HEALED in 1 Peter 2:24 Doesn’t Have to Mean Physically Healed.

Besides, the arguments one could make that “heal” is not physical both break down:

1.   “Their SPIRITUAL eyes and ears are what is being healed”

The healing in this statement comes AFTER the eyes and ears are able to see and hear, so that makes no sense.

2.       “They were to be SPIRITUALLY healed”

No one gets spiritually healed, as proved in the answer to Objection: By Jesus’ Stripes We Were Spiritually, Not Physically, Healed.  So that can’t be what Isaiah meant either.

See also:

Matthew 13:15
John 12:39-41
Objection: Vine’s Expository Dictionary Says That 1 Peter 2:24 Is Figurative of Spiritual Healing