It's not 'literally impossible', you just need to allocate more attribute points into that tree.
You can skip spending attribute points at character creation (allows you to level 1 skill to 10 at level 1) and allocate them later so by level 16, you could put 26 points into Tech if you choose.
I actually Think that specific check is intended not to be passed. Even in Pre 2.0 It was way too high.
I understand your point about it technically being doable, but it seems like they very much do not want the player to be able to do it, plus in the story it's a relatively early mission, and I don't think they expected people to actually use it. Also, my theory is that Judy was supposed to do something as she is the "Techie" architype, and she even makes a comment about seeing if she can do anything from there once you get to the room. The terminal also becomes unusable after she takes her position.
My guess is at one point maybe she did more in the second half of that mission, messed with security or the pipes or something, but it was cut. It just feels unfinished, like several other parts of the game, where it seemed like maybe there was a branching path, or more to the story, or a hidden option, that even now with everything they've added, the main story never really got those edges smoothed out. Which I get, they had a lot to fix, and making as large revision to the narrative, post-launch would not have gone over well, even if it was just adding alternative paths. But looking at PL and how some of those missions play out based on choice it just feels like there was meant to be more in those places....
Anyway, I'm getting a bit off topic. Point is, I think that terminal was meant to look like "Oh only Judy can do the thing cause she's the tech expert, so she'll support V from here".... but then it never actually panned out that way at least not in any noticeably helpful way in the mission.