Start a pop up without dealing with the red tape from the health department

The other day, I called my health department to see how much it would cost and how long it would take to legitimately start a pop up. I didn't like the answer so I asked myself, if this were easy, what would it look like?  I thought to myself, what if I partnered with an existing business so I could sell my pizzas? This way I don't have to go through the red tape but I'd still do everything legitimately? Can this be done? Yes.