It is unclear whether a bracelet was necessary to teleport 'out' from a bay on a ship or station, but in order to be retrieved or transferred from a remote location by teleport, a bracelet had to be worn. The bracelets seen all included a communications link with their point of origin.
The Scorpio bracelets appeared to be more robust. Apocryphal sources claim they were constructed from titanium and could be directly programmed with landing co-ordinates.
The Liberator bracelets could not be deactivated; if one wished to avoid an unwanted recall by teleport it was necessary to take the bracelet off.
The Liberator crew in particular were rather profligate when it came to losing teleport bracelets; presumably the ship manufactured replacements. The Federation did not appear able to use these captured bracelets to perfect their own teleporter technology.