1 Corinthians 12:4-11 (NIV):
There are different kinds of gifts, but the same Spirit. There are different kinds of service, but the same Lord. There are different kinds of working, but the same God works all of them in all men.
Now to each one the manifestation of the Spirit is given for the common good. To one there is given through the Spirit the message of wisdom, to another the message of knowledge by means of the same Spirit, to another faith by the same Spirit, to another gifts of healing by that one Spirit, to another miraculous powers, to another prophecy, to another distinguishing between spirits, to another speaking in different kinds of tongues, and to still another the interpretation of tongues. All these are the work of one and the same Spirit, and he gives them to each one, just as he determines.
What does the "gift of healing" mean here? Clearly Paul was not under the impression that all believers had it.
Anyone who wants any of the Nine Gifts of the Spirit can have them, if they spend time praying, fasting, and seeking for them. The Holy Spirit without measure is available to us all. That doesn't mean that everyone WILL seek it, but it is available to all.
But that's not the point I'm trying to make. I'm not talking about the Gift of healing, I'm talking about healing itself. Anyone who wanted to be healed and had the faith to believe was healed in Bible...from the centurion to the woman with the issue of blood.
I do believe that any who seeks can have, as Acts 2:39 says "For the promise is unto you, and to your children, and to ALL that are afar off, even as many as the Lord our God shall call."