It depends on the genes carried by their parents. If both parents were definitely partridge (and not silver penciled, which is what the silver version of partridge is sometimes called), then no, they can't be.
Sex-linking is a specific cross that takes advantage of the sex genes.
In people, males are XY and females are XX, and so traits that are recessive and would normally need two copies of a gene to be expressed, need only one copy in men. One example of this, I believe, would be male-pattern baldness.
In chickens, it's the reverse, XX for males and XY for females (just using the same letters for simplicity)
For example, the Silver/Gold gene is sex-linked.
Silver is dominant; you need only one copy to take all yellow coloring and turn it white.
Gold is recessive; you need two copies to express any yellow coloring (if the bird would have it; black and recessive-white birds can be gg and still not show yellow, for example)
So, to make the sex-link thing work, let's look at what each possible parent would be carrying:
Silver Roo is S/S or S/g
Silver Hen is S/- only
Gold Roo is g/g only
Gold Hen is g/- only
If you take a Gold Roo and breed him to a Silver Hen, this is what happens:
He gives all of his offspring 1 gold gene.
Since his daughters do not get any gene at this allele from the Hen, they will be g/-, therefore Gold, even though they have only one copy of the gene.
But his sons will also get one silver gene from the Hen and will be S/g, therefore Silver.
Sex-linking will not work in the reverse, Silver Roo over Gold Hen, because he will give a Silver gene to all his offspring, and though the sons would get a Gold from the Hen, Silver is dominant and so all the offspring would be Silver, breeding the children of the correct cross (as illustrated above) will not produce sex-linked chicks either.
If both parents are Partridge, it means that the Roos are g/g and the Hens are g/- and there would be no silver genes to go around to make the males Silver.
There are other forms of sex-linking which may or may not be present, but which wouldn't depend on the bird being partridge.
I hope that helps.