I believe that God can, CAN, heal anyone at anytime from anything.
I know first hand people who prayed and were healed from illnesses, and I know first hand people who prayed and were NOT healed from illnesses.
I pray for healing and mental stability, for God to take away my anxiety and depression, to be healed.
Am I 'healed?" Many days, yes. Other days, not so much. However that does not keep me from praying about it anyway.
Besides all that, the bottom line is a relationship with Christ Jesus is about where your soul ends up in eternity, not wether or not you get "healed." I have had and continue to have difficulty remembering that in the face of my divorce, raising our daughter, and paying off all my debt. I am up and I am down. For me, it's just life.
In the end, sick or well, where will my soul spend all of eternity?