I would say yes. You can take any tactical theme, reduce it to its core elements and stare at it, and then you would be more likely to spot it in an actual position with more "noise". I know some tactics books and tactics trainers do the first part of this, where they will show the key theme of the tactic in isolation, and then give a variety of real game examples where this is more noise. Vukovic did that, and CT-ART did that.
I don't know how practical the 'staring' part would be though, and I haven't heard of anyone attempting this before.
Instead of passively staring, another approach to consider is to figure out which specific types of problems you're getting wrong, and then drilling hundreds/thousands of those positions. For example in your question you state you're missing skewers and pins. Well, those are both one type of visual theme having to do with pieces in a line -- could be a pin, skewer, discovered attack, or a fork. I'd setup a training regime to where your task is to find a bunch (say a hundred-ish) very simple positions with pieces in a line. You are essentially overtraining your ability to spot pieces in a line, and you'll get to the point where you're seeing all sorts of things in a line (most of which won't matter, but some of it will).
If you're just starting at chess and are missing them all, then you could take one visual/tactical theme at a time and overtrain each one until you always spot the theme on a board with lots of noise. I'd also try training yourself to always spot undefended positions and exposed/stalemated kings. Those are almost always a major clue that a tactic is hiding somewhere. Knights depend on proximity, color, and certain geometrical patterns you can drill. Bishops obviously depend on color, as well as pieces being in a line, but can also use some geomtrical shapes for certain forks. Pawns really onlly have one tactic (a fork) which clearly depends on proximity (targets one square away...sometimes two) and geometry (targets one square apart). The website chesstactics.org does a good job of breaking down some of the visual elements of tactics in the explanations, and someone else already mentioned the book 'tactical antennae'.
Calculating what to do once you spot something is another matter, but you'll never get to that point if you're not spotting themes in the first place!!