I've seen that done without getting called in both pickup and officiated games. I'm not 100% sure what the actual rule is because it's never really been a specialty of mine. Part of the reason I've never really looked into it or worked on it myself is that the rules around it aren't completely clear and I'm pretty sure they violate the spirit of the rule and maybe even the letter. The other part of the reason I don't do it very often is because I'd just get myself in trouble and turn the ball over.
Personally, I think every time one foot lands on the ground should count as a step, so the only legal jump stop should be picking up the ball as you take off, landing on both feet, and then the only maneuver you have left is to jump once and not have the ball by the time you land. No pivot, no second step on the front or back end. I've seen stop-pivot-jump, step-stop-jump, stop-step-jump, even stop-stop-jump all go uncalled (pretty sure that last one was just a wrong call), but to me they all abuse the intent of the rule.
The whole traveling thing is pretty tough to call though. They usually call picking up the back foot early when starting a drive really tightly even though it doesn't give much of an advantage, but once you're in motion almost anything goes.
One thing that gets abused and leads to a lot of missed calls is how players will let the ball travel along with them without actually grabbing it. Take a hard final dribble, then at the top of the bounce let it spin with your palm in contact, but don't secure it until you've snuck a couple steps in. I've seen several of the lanky small forwards like Giannis A do this, so I wouldn't be surprised to see the league do something about it in the next couple years. You can even fudge that a little more by palming the ball to keep it "floating" along beside you a little longer. It can be tough tell at full speed what is going on.
In both cases, you're clearly controlling the ball while moving without dribbling even if you haven't put two hands on the ball. This is probably the one thing I struggle with in terms of following the rules myself. You try to delay the pass/shoot decision, and once you get a hand under the ball or two hands on the ball you're on the clock.