Yes. In fact, many crewed vehicles that have flown require little to no crew intervention, especially during the ascent and during adjustment burns - these maneuvers require such precise timing that they are better left to a computer.
Even the Space Shuttle, which as a space plane had an uncommonly complex re-entry program, required very little in the way of crew input. From this New York Times article:
The computers will be capable of autonomously handling virtually every
step of the mission. The only jobs the astronauts must do are putting
down the landing gear and braking on the runway.
Russia's Buran orbiter only flew autonomously on its single test flight, though it was designed to carry a crew much like the American shuttle.
I remember hearing a rumor that even in the earliest days of the Mercury program, the engineers initially wanted to strap in the astronauts and send them up as passengers with no control over the craft. They didn't even want to give them windows. As a group mostly consisting of test pilots, the Mercury 7 overruled this pretty quickly.
I remember hearing a similar rumor that Shuttle wasn't originally supposed to have flight controls (ditching them would save weight and complexity) but again, the astronauts balked.
I wasn't able to substantiate either rumor (if anyone has a source, please speak up), but it helps to show how ingrained the idea of robotic flights is in the industry.