I vote no.
Getting a degree is very different from being an engineer. I’ve known a couple solid but non-degreed engineers. I’ve also known some advanced degreed engineers who really, really needed to be in a different field and generally they get that opportunity fairly quickly. Unsurprisingly most engineers are somewhere in the middle.
On that last point, it sometimes comes down to common sense and sometimes it’s the ability to design a functional, practical thing at a manufacturable price within the allotted time. Not everyone can do this and it isn’t a question of training or intelligence, IMO. It’s something different. So is teaching it, and not many engineers ought to be anywhere near a lectern.
So maybe nearly everyone could get an engineering degree. But actually being an engineer? I’m gonna be quiet but slowly shake my head.