Jesus healed in diverse ways when He walked the earth, and He still today heals just as surely. As a matter of fact His healing power has spread throughout the world through His Church. We must bear in mind that The Church and Jesus are absolutely inseparable. Jesus never acts without the Church, and the Church can never act effectively without Jesus.
We see in the Acts of the Apostles at the very beginning of the Church, after Jesus had ascended into heaven, that healings continued. These healings were always effected through His Church, however. Could Jesus heal directly in some other way? Most certainly, because He is God. He can do anything and everything in any way He desires. However, He has chosen to act through His Church, through members of His Mystical Body.