No, but you really don't want to get both the flu and coronavirus at the same time. And on a community level - if you're not going into the ER because you have swine flu, that's one more bed/ventilator that can be used for a coronavirus patient.

It's also just a good idea. Spanish/Swine Flu (H1N1) is circulating again this year, and if we didn't have coronavirus occupying all the headlines people would be talking about the swine flu epidemic. (In fact, they were, back in November - there were a bunch of articles about how this year would be an unusually bad flu season.)