Do professional and semi professional cameras have good optical image stabilization, sometimes called steady shot?
In the DSLR world, different brands handle this differently.
Nikon, Canon and Panasonic camera bodies do not have any stabilization, rather some of their compatible lenses do implement image stabilization (the hardware is in the lens.)
Other brands, like Sony, Olympus, and Pentax, implement vibration reduction in the camera body, so that any lens used is stabilized. The Sony version is called "SteadyShot".
Most digital SLRs and many mirrorless interchangeable lens cameras — and many point and shoots — have optical image stabilization of some sort. But they all call it something different, and the technology used differs.
Olympus, Pentax, and Sony use a sensor-shift image stabilization approach very similar to that used for SteadyShot in Sony's camcorders. Sony even uses the same term. Exact details of implementation vary — for example, Pentax's system corrects for rotational shake, which is common when pressing the shutter release. You can read more about each of of these systems at each manufacturer's web site:
Canon, Nikon, and Panasonic take a different approach, providing many (but not all) lenses with elements which move to counteract shake. Again, there are differences in exact implementation (including types of movement which can be compensated for). More information at:
Third-party lens makers also make lenses with this feature:
The differences (including advantages and disadvantages) of these two approaches are well-covered here: What is the difference between in-lens image stabilizing and in-sensor image stabilizing?
If by "professional and semi professional cameras" you mean something like top and mid level DSLRs, the simple answer for Canon and Nikon is simply NO. The camera bodies have no built-in stabilization. Instead, optical stabilization, if present, is built into the lens, which is of course replaceable. Not all lenses have stabilization either.
Other brands like Sony or Pentax may have stabilization built into the camera body. Canon and Nikon are the most usual DSLR brands to see in professional hands though, by a wide margin.