Yes but, how would they be able to stop students from using spellcheck? There are many ways possible.
The old fashioned method is to conduct a proctored test with pencil and paper. Handwritten answers and essay questions. Slide rules for the rough stuff like square roots, cube roots and transcendental functions. A 4 function calculator was over $100 when I was a freshman in college. I hauled along a slide rule to get my square roots close, then tweaked them by successive approximation to be a good as the ritzy folks who had an HP35.