You can orphan the profiles as Robynne suggested, after which the other person can adopt them … assuming that he/she is a WikiTree member.
Another thing you could do, also assuming that the other person is a member and that you know his/her email address, is to add that person to the trusted list, then make him/her manager, and then remove yourself from the profile's trusted list. There is a tool to do a bulk addition to trusted list of a group of profiles, and another one to do a bulk removal of yourself. These tools would make the job easier.