They were standing side-by-side with their shoulders 'touching'.
The temperature outside was 'touching' 38 degrees Celsius.
Their story was deeply/very 'touching'. [='moving']
(..) School of magic. You can do things, can't you, Tom? Things other children can't. I can make things move without touching them. I can make animals do what I want without training them. I can make bad things happen to people who mean to me. Can make them hurt. (..)2009 Harry Potter and the Half-Blood Prince