Suppose I have structure like:

typedef struct {
    int a;
    int b;
} my_struct;

Is there any way to get/print the name of the fields of that structure (i.e. "a" and "b")
programmatically?

No any member (variables, functionc etc) names at run time. Your running (compiled, linked and loaded) program is a block of machine commands and constants - an easy and healthy food for processor(s)...

Not without storing the names as strings somewhere:

#include <stdio.h>

typedef struct {
  int a;
  int b;
} my_struct;

const char * const my_struct_fields[] = {
  "a", "b"
};

int main()
{
  size_t n = sizeof my_struct_fields / sizeof my_struct_fields[0];
  size_t i;

  for (i = 0; i < n; ++i)
    printf("Field [%d]: %s\n", i, my_struct_fields[i]);

  return 0;
}
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