Oh certainly.

As for a systemic solution, I imagine you could probably handle exam scheduling at the university level once enrollment is over and drop week has passed. Of course this only works if the entire university is on board. Otherwise the system breaks down at the edges super quickly.

Once enrollment is more or less fixed I imagine you could generate a fairly optimal arrangement of final exams with an SMT solver + linear programming. Give 5.5 hours per exam, 2x a day, with a 1 hour allocation for breakfast + travel and a 1 hour allocation for lunch + travel. That gives you 14 hours. Breakfast at 0700 if one is so inclined, exam 0800-1330, lunch 1330-1430, exam 1430-2000.

You could do 6 hour exams but you'd have to offer extended hours on dining halls in that case since students may not be eating until 9pm/2100 or later.

With 5 days, 2 exam slots a day, that's 10 exam slots per student. Most students are going to bunched into relatively similar courses per semester (with some degree of variation) and students essentially never take more than 8 classes in a semester (I did 7 one semester and 8 the next and they just about killed me and generally I didn't see undergrad students taking more than 5-6).

A solver should be generally able to find a solution to that optimizing for most even distribution of exams. Doubly so if the university starts finals a little early and does 6 or 7 days instead of 5 (i.e. starting on the friday or thursday before). And if a complete solution is not available, a solver could identify which particular courses are causing the optimization to fail and the admin could negotiate solutions from there.

And of course you can improve upon this if the university incentivizes/pressures X% of courses in a program to offer no-exam/project based finals instead. Personally I hated project based finals (too much to do already and you end up forced to choose where you allocate your time) but I understand they are preferable for some students and they'd reduce the load during finals week assuming they are required to be due before finals and not during.