It's possible, but I doubt it. Anything in Earth orbit (and perhaps as far as one light second) can be handled remotely. Beyond that, we can use robots that are programmed for a given task. If they don't have the right program, we can just transmit a new one. If we don't have the right machine in place, we can design a new one here on Earth and send it up. Or just a piece of one. Whatever is optimal.
Contrast that with the issues of keeping people comfortably alive in space for long periods of time. The habitat is either self-sustaining, with all the systems needed to provide a comfortable environment, or it is regularly supplied from Earth or some other location that is self-sustaining. Whatever habitat is created, it would be essentially an automated facility like a mining facility, but with the goal of creating that comfortable environment for people. That's a complex task that doesn't have the return on investment that those mining machines have.
That, in light of the realization that the people on that station are repairing machines. I'd just design my machines so that they can be easily repaired. If manipulator arms malfunction all the time, I'd create them to be modular so that the entire arm can be easily replace. Or such that they have a dozen arms that can rotate into place. Or I'd invest more into the machines so the arms don't wear out. Whatever is optimal. We have billions of people on Earth who can improve on them..
Ultimately, people go into space for emotional reasons. The first man in orbit. The first man to set foot on the moon. The first person to set foot on Mars. The first person to die off-planet - or to be born off-planet. And so on. These are feats with emotional value, and they are the reason that manned space programs exist. However, when it comes to getting anything done in space, we use machines.
That's becoming the case even here on Earth. We have plenty of people handy, but we're automating more and more jobs. Because machines can be built for each specialization. In the end, we just won't have to do anything material, and it will fall to us to try to figure out what being human is all about.