For reasons I don't remotely know, November 26th is National Cake Day in the US. I did look it up, thinking there was some particular reason why November 26, but I didn't find anything. Maybe it was just chosen arbitrarily.
If you were to look for the search string "barbie cake" or "cake barbie", the majority of what comes up is bakeries offering various Barbie-themed offerings, including the rather racy classic, the drunk Barbie cake, and tutorials on how to make your own Barbie skirt cake.
There is in fact a Mattel version of the Barbie skirt cake - 1999's Celebration Cake Barbie.
This did not feature any actual cake, but a plastic three-tiered faux-cake, as well as actual frosting with which to decorate it. I'm not sure how I feel about encouraging children to squirt frosting onto a plastic toy and then eat it, both for hygiene reasons and mess reasons. I can only imagine what a sticky, ant-ridden mess these would soon become.
Naturally there have been a few other cake-themed Barbie doll releases - aside from the plethora of cakes that appear in various birthday and wedding dress themed dolls and playsets, there are a number of baking themed Barbies.
Some representing Barbie as a baker or pastry chef, but some even specifying cakes as a specialty.
And from various retailers you can get Barbie cake toppers and cake decorating bits and pieces, alongside various other Barbie party paraphernalia. This is one currently for sale at Australian retailer, Big W.