I don't think that you can "break" the cumming mechanism. But you can definitely mess with it and explore controlling it. Edging is a good way to practice if you want to explore getting the orgasmic pleasure of orgasms separated from shooting your load, i.e. ejaculating. There is that "point of no return" when ejaculation becomes inevitable and after that happens you usually loose your erection and need to go into the refractory period until things cool down and you can get a new erection. There are exercises you can do when edging up to the point of no return to draw up the energy away from the ejaculatory reflex and get a taste of the orgasmic pleasure that cumming brings but without the squirting. You then can keep the rock hard erection and go another round of stimulation up to the edge again, pull away from the ejaculation, maybe feel even more of the orgasm pleasure and keep going. After awhile practicing this you get more and more control and can really get more intense orgasmic sensation than ever and you may not even feel the need to go over the edge. But you can always take it that far and have a strong orgasm with a good load shooting.
I think our bodies are so genetically evolved to procreate that the cumming mechanism can't be easily broken. Maybe if there is some drastic disease, or as i have heard from men that had radical prostate procedures, that left them unable to ejaculate or with other unfortunate consequences.
I will say that my experiments, exercises, and results of exploring multiple orgasms without ejaculating has given me the ability to have sex with partners for hours at a time with incredibly extended pleasure. I think being a long lasting lover is a good thing. But I have noticed that during sex I can be having such a peak of orgasmic pleasure that I focus on riding that and getting to that "point of no return" even starts to feel elusive and I can just go for the pleasure! If my partner cumms, can't take anymore, or tires out, then I can rub out a load but usually opt for the feeling of that load churning in my balls getting bigger and stronger for the next time when I finally let it fly!