Yes, ray casting does not ever imply recursion, it’s simply referring to casting a ray to test visibility from one point to another. Ray tracing now most commonly means exactly the same thing, and expecting anything else will often lead to confusion.

“Ray marching” is also overloaded ;) but what you’re referring to (also and originally called ‘sphere tracing’) is a new and separate idea from either ray casting or ray tracing (if you’re thinking of something other than ray casting when you say that.) Ray casting/tracing is most often done using non-iterative analytic intersection functions, where the style of ray marching you’re referring to is a distance field query, not a point to point visibility query, so ”ray marching” generally implies a different traversal algorithm, and (usually) a different representation of the geometry.

You can use any/all of these to build path tracers, but they come with different tradeoffs.