The Bible writes that Mary became pregnant by the Holy Spirit and the result of this spiritual/physical union was Jesus—it was a virgin birth.
This supernatural impregnation was the spiritual superseding the physical. And if God can do that, he can certainly heal our bodies and restore us to health. He has the power to do that. (When and why he does so is a different discussion for a different time.)
However, there are some within Christendom who deny the possibility that a baby could be conceived by the power of the Holy Spirit. These are often the people who also disregard God being able to heal.
Their view of God is more limited than mine, but just because our respective understandings of God are different, it would be wrong to assume one is right and the other, wrong.
God is a big God and even the grandest of our comprehensions of him are small and understated. So we understand him the best we can and to the degree we are able—and I suspect that is enough.
Read more about the book of Luke in That You May Know: A 40-Day Devotional Exploring the Life of Jesus from the Gospel of Luke, now available in e-book, paperback, and hardcover.
Peter DeHaan writes about biblical Christianity to confront status quo religion and live a life that matters. He seeks a fresh approach to following Jesus through the lens of Scripture, without the baggage of made-up traditions and meaningless practices.