Most BTS members are still flying solo, and their busy schedules probably don't help. RM, the leader of the group, has said in interviews that he's too focused on music to think about dating. Meanwhile, Jimin and Jin have also stated that they're not currently in a relationship.
But what about the other members? Suga has been pretty tight-lipped about his love life, but we do know that he's a total softie at heart. He's often seen being super sweet to his fans, and who knows, maybe one day he'll find someone to shower with love and affection! V, on the other hand, has been linked to a few mystery women in the past, but nothing's been confirmed.