What is needed for currency:
There's a finite amount at any given time. There isn't too much or too little of it.
If the elements of bone come from specific types monsters/dragons which changes the quality of the bone china in a way that's different from standard bone, this adds a layer of rarity that you might not get simply from bone china taking skills and a forge to make.
It doesn't rot or wear out. Best if it CAN get wet without being destroyed.
Difficult to cheapen, thin, or counterfeit. Bone china allows light to pass through it and has a certain "ring" when pinged. With an addition of dragon bone, it might sparkle a certain way or somesuch. There is a difference between bone china and porcelain--and though you are calling this porcelain in your question, you are actually asking about bone china. If counterfeiting is in question you might want to look into how antique dealers tell the difference--porcelain is a brighter white, light plays on it differently, the sound is different. Any savvy merchant will be looking for these differences.
Possibly fungible. That is, the value of the currency does not depend on weight or measurement. You might have different denominations or sizes, but they tend to be static enough that they don't have to be measured to know the value. Not true in the case of salt or tea, but as it was used more often, things like that would be compressed into bricks that are of uniform size and shape so that one doesn't have to have equipment to know the value of the money. So basically, you can forge pieces of bone china where the value depends on size and what's in it. You can mix colors in even to differentiate, which would be more interesting than just size.
It doesn't actually need to have ANY other use, even if that is a neat feature. Which is what you seem to be worried about. Take cowrie shells for instance.
Because the answer to your actual question is not really. Not if they are glazed in any way. If unglazed maybe, but the energy needed would be more than just forging from scratch. This element of being able to reforge it is not actually needed. It will be worth more as currency than it likely will be in objects for the most part. Porcelain isn't metal, and that's possibly what will make it more valued, not less, if it takes skill to make and specific ingredients.
Of course making "money" like coins, chips, or things of a similar nature out of this porcelain only makes sense if the porcelain can then be processed or reforged into a more useful shape, since its value is derived from its utility.
But when things such as pressed tea, salt, and other utilitarian objects were made into money, and once they were, rarely saw service as actual tea or salt, as they were more valuable and more tradable in a recognizably monetary form. (Were phased out because the amounts needed were far too heavy). The same was true of dagger currency. While they were technically metal, they weren't actually used as knives, however utilitarian knives are.
You can have bone daggers and things made of bone porcelain, but the currency just needs to be recognizable, and have the characteristics of a good currency.
Now there is a fantasy model which does work like this--in the Dragonlance series, coin was Steel. And so were weapons. Here's a message board talking about the value of that vs. gold in the series and the RPG.