I answered this question, though maybe not directly. I suggested that it is only the interpretation of the observer that may or may not identify what they see as "old". The evidence for both ideas (old; young earth) is the same, just with a different interpretation. May I also point out that 10,000 years is a very long time.
I don't have the knowledge to argue whether carbon or radiometric dating (I guess this makes up part of the evidence you're talking about) is open to interpretation or not, but there are other processes which require time.
For example, if I look at person I can make a reasonable guess at how old they are. This means that unless they were "poofed" into being, they had to have been alive for at least a certain amount of years.
Similarly, I can look at a tree's growth rings and determine it's age. Neither of these estimations of age leave much room for interpretation except within a reasonable margin for error.
Of course, we don't have 10,000 year old people or trees (at least I don't think we have trees, but we definitely don't have the people). However, what about stars?
We can measure the distance that a star is away from Earth, and as far as I know the measuring techniques are not disputed by any creationists. This means that if a star is more than 10,000 light years away then the light we're seeing from it has taken more than 10,000 years to get to us (I don't know if there is any star that far away - if not, then substitute galaxy for star).
In other words, the light we see from such a star is more than 10,000 years old. And as far as I know every reputable scientist who has measured the speed of light has come up with the same figure (notwithstanding the fact that it has changed a bit as the accuracy of that measurement has improved). So that's something which doesn't depend on interpretation.