Nope.
However, all white people do live privilege in very basic ways, whether they want to or not, which embodies oppression.
I mentioned how this is true in a recent thread: that they are more likely to get a job, or an apartment, or have parents with generations of assets, simply for what they look like, even when competing against an equally meritorious non-white person. These are unavoidable things. But if we want to, we can convert as many of them as possible into things to fight against oppression with.
This writer in the article seems to be explaining a similar concept, but calling it racism rather than embodiment of oppression. I disagree. Often times, we aren't even aware of who is competing against us. It could be all white people, or all black people. We don't know who else applied for that job, ya know?
However, this is something you can be aware of and nip in the bud if and when it happens.