"Distant from" means far away or removed from something in space, time, or relation. It can describe physical distance, a weak link to a topic, or emotional detachment.
It is in vain to dream of a wildness distant from ourselves. There is none such. Henry David Thoreau
Most people call something profound, not because it is near some important truth but because it is distant from ordinary life. Thus, darkness is profound to the eye, silence to the ear; what-is-not is the profundity of what-is. W. H. Auden
All places are distant from heaven alike. Robert Burton
He who is off the course, the more swiftly he runs is the more distant from the goal and, therefore, the more unhappy. It is better to limp in the way than run out of the way. John Calvin
Service (is) the cause of your getting distant from pride. Fatimah
The rest of the troops I would quarter, as before mentioned, somewhere not far distant from Morris or Baskingridge, according as wood and water may favor a position. Nathanael Greene