No, absolutely not. Most concrete cleaners are very different when you compare them to a vinyl siding shampoo or with any other pressure washer soap. Firstly, these aren’t designed to bubble or foam up to create a lather. Acidic, alkaline, and enzymatic or bacterial cleaners are all different in how they achieve their results, but none of them should come into contact with your pressure washer soap tank, and they certainly shouldn’t go through your pressure washer pump as this may cause serious and permanent damage.
Instead, you should apply these chemicals by hand and then bring your pressure washer in later to rinse these chemicals away.