Mr Tucker, a World War II veteran who fought at Crete, said he felt powerless to stop the man, who was considerably bigger and stronger than him.
The man stayed for more than an hour rummaging through Mr Tucker's property, before fleeing with his wallet, iPad and several sentimental items, including a piece of Antarctic rock, which had been gifted to him by Sir Edmund Hillary.
Mr Tucker said the theft was "devastating", though he was grateful his prized war medals were at another property.
Police described the offender as Maori, 30 to 40-years-old, riding a yellow bike with a red bike chain wrapped around the seat.
Rotorua police crime prevention manager Inspector Stuart Nightingale said police had spoken to two people in connection with the bicycle and searched an address, but there was insufficient evidence to charge anyone at this stage.
Mr Nightingale said a similar incident had occurred recently in Fenton Park. "A man has approached an elderly person at the door, with what appears to be a well-rehearsed story, asking for money."
When the man was sent away he went to another address with another story, he said.
Mr Nightingale described that man as Maori, about 28, with short dark hair and of medium build, who was well-dressed and well-spoken.
He was with a Maori woman of slim build, who was about 25, and had long black hair.
"They will come across as quite engaging and authentic, but police have no doubt that their intentions are dishonest."
Mr Nightingale said this type of offending was unusual.
"This is where a person knocks on the front door, engages in conversation, specifically trying to win the confidence of elderly people, with dishonest intentions."
He said anyone with information about these people, or similar incidents, particularly if the person has been let in the house and taken something, is urged to contact Rotorua police on (07) 348 0099 or Crimestoppers on 0800 555 111.
