No. This is wildly inaccurate- there are bad students. Plenty of them. This statement comes from the generation of students with narcissistic parents who cannot tolerate seeing a child who is struggling, thus they blame the teacher. Same thing as the "everybody is a winner and deserves a trophy" crowd. This is bad for children, and for students.
When I use the term student, I am referring to someone who is actively wanting to learn. If somebody is paying to be taught and has a desire to learn, it is up to the teacher to teach. True, there are plenty of "Students" in classes with no desire to learn what is being taught, but in my opinion they are not really students, more so distractions. A good teacher, however, will engage these distractions and make them into students. You're right though, you can't help those who won't help themselves.
I have a younger brother who has pretty much all the odds stacked against him when it comes to academic learning. He has ADHD, fairly severe dyslexia, and a vision convergence problem which means he struggles to focus on written words for more than a few minutes, among other things. He is by all standards, a bad student, and after 7 years of schooling that label was branded on him so strongly that he can't do much but get in trouble. At the beginning of this year we took him out of traditional schooling (after trying several different schools, independent education plans, tutoring, etc.) and started home schooling him, man has it made a difference. At the beginning of the year he could write a paragraph, maybe, now he can research and write a full multi-page assignment, submit multiple drafts and take criticism and improve on his work, and will work independently without constant instruction and reassurance.
All it took was a bit of hands on teaching, you can't fit a square peg in a round hole no matte how hard you try, some might bend and squeeze through, or make you think they've fit, but some will just flat out refuse. You need to work to a students strengths, think outside the box and make things work for them, you need to find a way to engage the student and discover how they best absorb information, and the schooling system here not only were not able to do it, they flat out refused.
If my little brother can be taught, I believe pretty much anyone can, so long as they have the desire to learn. Infact, a good teacher should be able to instill the desire to learn in a student and keep them engaged, even if the student themselves doesn't have that desire to begin with.
I stick to the idea that there are no bad students, only bad teachers. Maybe bad is not such a good word, maybe "inept" would be better? Every student has the ability to be taught, so long as the teacher has the ability to teach.
If you are teaching poorly or are not getting your message across clearly or in an interesting format, then sure. But more than likely, that is their choice, and you have to allow them to chose to flounder if that's what they want to do. It does not help them if you take their failure as your own and don't give them the opportunity to learn from it.
Unless, of course, you are actually an awful teacher. But truly awful is not nearly as common as people would suggest.
As I said, so long as the student is willing to learn, there is no reason they should fail other than ineptitude on the teachers part. In my teaching experience I've had students who are doing everything as I taught them and still not getting the result they're looking for, and in all cases it has always been something I have missed, or something in the teaching process I have had to change to work for them. It's never a case of the student not doing it right, it's case of me not teaching them what is right for them.
I've worked with delinquents of all sorts, when I was younger my folks had a furniture manufacturing business. Much of our staff came from kids who were constantly in trouble, on the cusp of being kicked out of school, and generally "bad kids". They'd learn stuff they could never learn in school, most of them had always struggled with maths, but when they needed to use it for their job and had some sort of practical application for it, as well as a good mentor and somebody to show them the way, they'd pick it up pretty quick. Generally they'd soon be doing the bookwork for whatever apprenticeship they were doing and passing with ease, they just needed a different learning environment, a different type of instruction, and a second chance where they weren't just the naughty kid anymore. Most of them struggled with school for a reason, they'd come from broken homes with all sorts of messed up backgrounds, they were just stuck in a rut where they were a "Bad student" and they'd never been given an opportunity for an out.
Yes, if a student fails to learn, it is rarely through no fault of their own, but a different or "better" teacher can and will make all the difference, hence when I teach, I always stick to the idea that the fault is mine and I need to find a way to help the student overcome the problem. The "tough love" approach rarely works, in my opinion it creates a sense of elitism among those who succeed, and an overwhelming sense of failure (and contempt) in all those who don't. Those who succeed are not superior in any way, and generally they're just lucky enough to fit in the right hole.