Always use the safety chains and attach them properly .... PERIOD!!!!
The only way a trailer will come off is either you didn't attach the coupler to the ball correctly (always make sure the coupler is locked correctly and use either a padlock, or locking hitch pin so it can't come off), the coupler, or tongue breaks, or the trailer ball breaks/comes unbolted.
Always check those connections before pulling out of the driveway and at every gas/rest stop