A latch system has a socket assembly and a plug assembly. When the socket assembly is within a predetermined distance from the plug assembly, a socket magnet member and a plug magnet member displace the socket assembly towards the plug assembly. To place the latch system in an engaged configuration, the head portion of the plug member passes through a main opening in a socket housing and a plug opening in a socket plate such that the head portion is within the primary chamber. To place the latch system in a latched configuration, the socket assembly is displaced relative to the plug assembly to arrange at least a portion of the socket plate within a head gap defined by a head portion of a plug member.