Well... not really. No one here put up basic tensile, flex or bearing strength numbers that I recall, and I don't think we really have that many in-depth MEs here anyway. I could pull up some basic numbers myself but I'm sure I'd miss something; there are more degrees of freedom in a mechanical system and I'd likely oversimplify the design. Or someone could run a simulation; but I'm not sure that these sorts of things are all that easy or cheap to simulate? (Is there an open/free stress/strain simulator? Any good ones?)
Like, just for a very, very basic "sniff test" -- consider that guns exist, and work. Right? So there's at least as much strength to propel something supersonically, and they were already looking at doing it in the past (i.e. escape velocity by gas propellant). It's not much of a stretch to bear the same tensile load quasistatic versus intermittent, and much stronger alloys are known today than were available back when they were researching big guns. (Ballpark figure: a gun develops on the order of 30ksi peak; steels over 250ksi are readily available, give or take a suitably interested/licensed customer*.)
*Maraging steels are some of the strongest, and primarily used for nuclear centrifuges apparently. So, that. Aerospace is mostly fairly well regulated anyway so I don't see that that's a problem.
I suspect it's in the same order of magnitude, so needs an actual simulation or scale test to determine feasibility. And there's a lot of room to play with balancing the release mechanism, and how much torque or wobble that causes in turn, and how much the arm can bear, and how stiff it should be (more flexible to allow the displacement, or less to bear the forces?), etc. This is just plain old engineering, something you need to sit down and crank.
Tim