Can Jesus really heal blindness and deafness?

I was watching videos about people, mostly in third world countires, who are with these preachers whom are praying to Jesus to heal them right in front of them, and they are completely healed. Is this really possible? It seems too good to be true, that right like that someone can see and hear again. I don't really understand why that doesn't happen around here, or how just one prayer can heal someone. I know Jesus had a healing touch, but how do you explain this?