Many people want to believe God does not heal, or God no longer heals. However, this seems to go against what people are reporting, worldwide.
My step-mother-in-law was diagnosed, by one of her best friends, with advanced ovarian cancer with a solid non-cystic mass, and tons of people were praying for her. You can tell via cat scan whether or not a mass is solid or cystic, and it was definitely solid (more than one doctor diagnosed it). But when they went in to remove the cancer via surgery 24 hours later, it had turned into a cystic fluid-filled mass and was not cancerous.
I know a man who is a psychologist and a professor. He went on a short term mission trip to Australia. While there, as a presentation was concluded, he noticed a barefooted man limping down to the stage in response to an invitation for anyone who wanted prayer to come down and receive it. He saw this man’s twisted and clubbed foot straighten and grow to normal size and the toes grew as well, until the foot was well formed. To say the least, this professor’s mind was blown for a few days, as while he had had a stated belief that such things were possible, there was no real faith in the idea.
This same man went to the other side of Australia and was praying with a prayer partner , with their hand on the person receiving prayer, praying for healing of the woman’s multiple large tumors. Before their eyes, her tumors reduced in size and disappeared. Needless to say, his worldview was shaken on that trip. It took several weeks for him to be able to adjust.
We have no idea why God sometimes answers pray for healing and sometimes not. But I think at least some part of it has to do with motivation and faith.
James says it is because we do not ask, or when we ask we do not have the right motivation (James 4:3-4). The gospels tell us that Jesus did few miracles in one location because of the lack of faith of the people (Matthew 13:58). Paul saw a man had the faith to be healed and so healed him (Acts 14:8-10).
Sometimes people are healed to show the work of God (John 9).
Just because we don’t see it, or understand it, does not mean it does not happen. So yes, God heals, even today.