Why not? Surely if you can get away with price gouging, then you would want to price gouge on more stuff, right? Of course, there are diminishing returns here, because as you produce more stuff, you might be able to gouge less and less. But certainly there must be some max-profit equilibrium higher than the current price, if you are already able to gouge.
Price gouging usually leads to producing more stuff, if it goes on long enough and you are allowed to produce more.
Healthcare is an example where this doesn't work, because you aren't allowed to produce more stuff. You can gouge all you want, but can't provide any additional quantity of services. (See: Certificate of Need laws in the US)