Mr Cordon claims the promise was made at a meeting held in October 2000 by chief executives of the former West Surrey Health Authority.
He has also questioned the provision of telemedicine at the Local Care Centre, allowing Farnham patients' x-rays and scans to be examined by NHS specialists at bigger hospitals.
"This was one of the big promises, but it seems that the amount of telemedicine will be limited, meaning that people will still have to travel to a busy acute hospital instead of turning up locally," said Mr Cordon.
As a result, he believes the centre cannot provide a truly local service.
His understanding of the service was to provide emergency care for minor injuries and in turn ease the burden on the emergency departments in the more acute hospitals such as the Royal Surrey County Hospital and Frimley Park.
"In October 2000 there was intense consultation on this issue and the message was that there was a real need for this service so that people in Farnham with a minor injury didn't need to go to Frimley Park.
"However, at a recent meeting with health authority executives, I just got a lot of blank faces when it was mentioned.
"In the handover from West Surrey to Guildford and Waverley PCT, it appears there has been a lack of communication and it has been overlooked. While the health authority has been restructuring itself, responsibility to provide such services has been neglected."
Mr Cordon continued: "The previous health authority has already identified the need for this service, so the pressure is on not for me to prove my case, but for the new PCT to explain why they are not providing the facility."
But the decision not to have a minor injuries unit has been defended by Director of Development and Communications at Guildford and Waverley PCT, David Little, who believes the facility can be accommodated elsewhere.
"The use of the centre and the kind of services it provides, will need to be reviewed over time in light of changing factors, e.g the relative ease of access to the Royal Surrey County Hospital and Frimley Park Hospital accident and emergency services at night, and the successful emergence of NHS Direct."
He added: "Promises made in October 2000 may well have changed now. The Guildford and Waverley PCT has only been in operation for four months and the people in charge have nothing to do with promises made two years a go."
Planning permission was granted in January last year and the opening is planned for June 2003.