As one user said before, this absolutist way of thinking is tiring. Hamburger menus can absolutely be accessible and I would have liked to read how to do so. Here's my take:
* It uses valid HTML and JS. (You could also make it work without JS as a fallback and I love progressive enhancement, but it's not a requirement specifically for accessibility. Actually, JS can contribute a lot towards accessibility.
* The toggle button uses either `title`/`aria-label` or visual text in addition to the ≡ icon.
* The focus states are clearly visible for keyboard navigation.
* The correct ARIA attributes for the interactive elements are used.
* Depending on the menu, think about a focus trap/loop.
Bonus tip: While I prefer using `<button aria-expanded>` since I believe it is more accessible for screen readers, you can also use `<input type="checkbox">` + `<label>`. If you have to do it this way, please do no use `display: none` on the checkbox input – this will make it unusable by keyboard. It should be only hidden visually.