Realistically? No Way
The legacy books in tens of thousands of small town libraries and schools are enough to guide experimenters in most technologies before 1900 (and many after), including biology and health care, industry and mass production, chemistry and physics, instant and mass communication, and powered transportation.
There are enough mechanics and tinkerers and rural industry to prevent permanent collapse of food production and processing. (I know that's a blow to lots of budding apocalyptic authors) Google steam adaptations of of all kinds of vehicles, and you will see that somebody has welded one together and tried it and got it to work. Survivors won't be tending oxen in the fields - clumsily-modified steam-powered tractors will be doing the work in short order...and they will get better with time. All those mechanics and tinkerers also, by the way, keep those skills alive and thriving.
There won't be much oil/gas available, so energy will be expensive and carbon-belching substitutes like steam will be popular. There won't be much flight, and there won't be much internet. Banking and finance will be greatly diminished. Global supply chains for cars and trucks and major appliances are likely to be uneconomic to repair, and local substitution will take years to develop.
There are hundreds of proper, degree-granting colleges and universities in rural america, far from any bomb targets, with many thousands of learned professors and all their materials. That's in addition to hundreds of thousands of math and science and other secondary school teachers in rural america. A complete infrastructure of learning and re-learning for the survivors is already in place.
Nobody is saying that an apocalypse will be easy to survive, or that it won't (by definition) be the worst, most horrifying and tragic event to happen to a society. But the utter devastation of an apocalypse still won't permanently throw most North American standards of living back whole centuries for the survivors and refugees. Many communities could recover most of a 1960s-era lifestyle within a decade.