Again - it could be done. But there is a tradeoff for everything. For any given existing design, adding additional front turning angle will require:
a) Either a wider track & wider fenders, or else a narrower engine compartment, or a combo of each.
b) For front wheel drive, a more sophisticated (read expensive) drive line arrangement, maybe triple CV joints instead of dual.
c) For front or rear wheel drive, altered suspension gear with greater travel, taking up more room. This either makes the car bigger, or further eats into engine compartment or cockpit space, or both.
d) For front or rear wheel drive, altered steering gear with greater travel, and increased leverage at the travel ends. Depending on how tight space is under the hood, this might again requre growing the car or shrinking the engine or cockpit. There are also design standards for how many turns lock-to-lock, and there is a tradeoff between excessive sensitivity near the center (where 98% of driving is done) versus total travel.
Finally, at least for modern construction, there are standards for road size, parking lot lane size, etc., which are aligned with the capabilities of the typical modern car. A standard car can make a 180 turn in a standard residential street w/o hitting either curb for example. Given that the world is sized for cars as they are, how much benefit is there to making a car which turns slightly tighter?
It seems the current manufactuerers don’t believe that people will pay enough extra for them to go to the bother.