I was given the Power of attorney rights.Can another Family member take over that right by influencing the individual to change their mind ?

An individual can change his Power of Attorney as long as he has not been legally declared incapacitated. The authority of any agent under a Power of Attorney automatically ends when one of the following things happens: (1) the principal dies, (2) the principal revokes the Power of Attorney, (3) a court determines that the principal is totally or partially incapacitated and does not specifically provide that the Power of Attorney is to remain in force, (4) the purpose of the Power of Attorney is completed, or (5) the term of the Power of Attorney expires. In any of these instances, the Power of Attorney is terminated. If, after having knowledge of any of these events, a person continues to act as agent, he or she is acting without authority.