All science is materialistic

[Angrboda]

If it's applied, that means that it's possible, so your impossibility caveat would not apply even if it were otherwise valid.

Consider the last 40+ years of attempts at controlled nuclear fusion.  It's possible to do in theory (which is why there is funding for it), and yet, it may be impossible to implement in practice, which means that it will never happen, ever, by anyone here or elsewhere.

Which has nothing to do with technology. Technology we don't have isn't technology.