Well partially, but it would require huge infrastructure investments to get those launch rates up much. And those items have absurdly long lead times (partially by design).

The RS-25E (non-reusable SSME) is incredibly complex, and you are not gone mass produce them anytime soon. Even starting a very limited production line cost billions.

So sure with infinite budget many things are possible, but they are simply not going the happen. The rocket is simply not designed for high launch rates.

What is it designed for? Sucking money out of the treasury?

Mostly its designed to reuse existing contractors and existing NASA facilities.

Got it in one.

The best way to get high launch frequency for a crewed rocket is to have it launch on top of an existing, heavily-used uncrewed rocket.

Falcon 9 and Atlas 5 are two examples. NASA's safety advisory board has said very positive things about the safety aspects of using a frequently-launched rocket.