New-Earth creationism is mainly promoted by people who believe that the Bible authors were inspired by God to write text that is inerrant -- free of error.
New-earth creationists obviously cannot accept the accuracy of the C-14 dating method.
"There are many lines of evidence that the radiometric dates are not the objective evidence for an old earth that many claim, and that the world is really only thousands of years old.
Radiometric Dating Technologies are presented to the public by evolutionists as utterly reliable clocks for dating earth rocks or biological materials.
There are two reasons uncalibrated dates must be mentioned: 1) this prevents people from making up any number they please, and 2) it is for the sake of posterity, where future scientists can check the results and apply new ideas of calibration. Radiocarbon dates are affected by many outside factors.
The accuracy of the machines is not in question (especially modern ones, which are astoundingly accurate when properly zeroed in). But, any source of old carbon in the ancient environment can affect the amount of C-14 in a sample.
The only notable exception is that he says carbon dating is only good for objects less than 40,000 years old. As technologies advance, so does our ability to detect the amount of C-14 in a sample.
Therefore, the basic question which Hovind is answering is no.